What is the GCF of 4 and 4? | Thinkster Math (2024)

Solution: The GCF of 4 and 4 is 4

Methods

How to find the GCF of 4 and 4 using Prime Factorization

One way to find the GCF of 4 and 4 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:

Here is the prime factorization of 4:

222^222

And this is the prime factorization of 4:

222^222

When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 4 and 4 by multiplying all the matching prime factors to get a GCF of 4 and 4 as 4:

Thus, the GCF of 4 and 4 is: 4

How to Find the GCF of 4 and 4 by Listing All Common Factors

The first step to this method of finding the Greatest Common Factor of 4 and 4 is to find and list all the factors of each number. Again, you can see how this is done by looking at the “Factors of” articles that are linked to above.

Let’s take a look at the factors for each of these numbers, 4 and 4:

Factors of 4: 1, 2, 4

Factors of 4: 1, 2, 4

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4. Since 4 is the largest of these common factors, the GCF of 4 and 4 would be 4.

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What is the GCF of 4 and 4? | Thinkster Math (2024)

FAQs

What is the GCF of 4 and 4? | Thinkster Math? ›

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4. Since 4 is the largest of these common factors, the GCF of 4 and 4 would be 4.

What is a GCF of 4? ›

Explanation: another approach is to list the factors out and pick out the common ones. Factors of 4:{1,2,4}

What is the GCF of 4 4 and 4? ›

In this case, the greatest common factor is 4.

What are the factors of 4 answers? ›

What are the Factors of 4? The factors of 4 are 1, 2 and 4.

What is the factor of 4 in maths? ›

Factors of 4: 1, 2, and 4.

What is the least common factor of 4 and 4? ›

LCM of 4 and 4 is 4.

What is the GCF of 4 and 2? ›

The GCF of 2 and 4 is 2. To calculate the greatest common factor (GCF) of 2 and 4, we need to factor each number (factors of 2 = 1, 2; factors of 4 = 1, 2, 4) and choose the greatest factor that exactly divides both 2 and 4, i.e., 2.

What are the first 4 factors of 4? ›

Factors of 4 in Pairs

The factors of 4 are: 1, 2, 3, and 4. The factors of other numbers are: 5, 6, 7, 8, 9, 10. The factors of other pairs are: (2x), (3x), (4x), and so on.

What is 4 and 10 GCF? ›

The GCF of 4 and 10 is 2. To calculate the greatest common factor (GCF) of 4 and 10, we need to factor each number (factors of 4 = 1, 2, 4; factors of 10 = 1, 2, 5, 10) and choose the greatest factor that exactly divides both 4 and 10, i.e., 2.

What multiple of 4 is also a factor of 4? ›

For example, 4 is a factor of 8, 12, 16, 20, etc. because 8 ÷ 4 = 2, 12 ÷ 4 = 3, 16 ÷ 4 = 4, 20 ÷ 4 = 5, etc.; therefore, all the numbers in the 4 times tables have 4 as a factor.

Can 4 be a factor of 4? ›

All perfect square integers have an odd number of positive integer factors. For 4 they are 1, 2 and 4.

Does 4 have 4 factors? ›

And 4 also has exactly three factors: 1, 2, and 4.

Does 4 have 3 factors? ›

Since, 4 has three factors, i.e., 1, 2, 4, therefore 4 is a composite number.

Is 4 a factor of 100? ›

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.

What is an example of a factor of 4? ›

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Why is 4 a factor of 1, 2? ›

The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or, alternatively, each of those is a counting number that can be multiplied by another counting number to make 12).

How do you find a GCF? ›

To find the GCF of a set of numbers, list all the factors of each number. The greatest factor appearing on every list is the GCF. For example, to find the GCF of 6 and 15, first list all the factors of each number. Because 3 is the greatest factor that appears on both lists, 3 is the GCF of 6 and 15.

What is an example of GCF Grade 4? ›

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.

What are the multiples of 4? ›

What are the factors and multiples of 4? The factors of 4 are 1, 2 and 4. The multiples of 4 include 4, 8, 12, 26, 20, 24, 28, 32, 36, 40, 44, etc.

Is the highest common factor 4? ›

For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.

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