Greatest Common Factor of 3928 and 3932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3928, 3932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3928 and 3932 is 4.

GCF(3928,3932) = 4

GCF of 3928 and 3932

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3928 and 3932

GCF of 3928 and 3932 is 4

Prime Factorization of 3928


2 3928
2 1964
2 982
491 491
1

Prime factors of 3928 are 2,491. Prime factorization of 3928 in exponential form is:

3928 = 23×4911

Prime Factorization of 3932


2 3932
2 1966
983 983
1

Prime factors of 3932 are 2,983. Prime factorization of 3932 in exponential form is:

3932 = 22×9831

∴ So by taking common prime factors GCF of 3928 and 3932 is 4

Greatest Common Factor of 3928 and 3932 by matching factors method

Factors of 3928

List of positive integer factors of 3928 that divides 3928 without a remainder.

1,2,4,8,491,982,1964,3928

Factors of 3932

List of positive integer factors of 3932 that divides 3932 without a remainder.

1,2,4,983,1966,3932

Greatest Common Factor

We found the factors and prime factorization of 3928 and 3932. The biggest common factor number is the GCF number.
So the greatest common factor 3928 and 3932 is 4.

Also check out the Least Common Multiple of 3928 and 3932

Properties of GCF 3928 and 3932

(i) The GCF of 3928 and 3932 is associative

GCF of 3928 and 3932 = GCF of 3932 and 3928

Related Greatest Common Factor of 3928

Related Greatest Common Factor of 3932

Frequently Asked Questions on GCF of 3928 and 3932

1. What is the GCF of 3928 and 3932?

Answer: GCF of 3928 and 3932 is 4.

2. What are the Factors of 3928?

Answer: Factors of 3928 are 1, 2, 4, 8, 491, 982, 1964, 3928. There are 8 integers that are factors of 3928. The greatest factor of 3928 is 3928.

3. What are the Factors of 3932?

Answer: Factors of 3932 are 1, 2, 4, 983, 1966, 3932. There are 6 integers that are factors of 3932. The greatest factor of 3932 is 3932.

4. How to Find the GCF of 3928 and 3932?

Answer:

Greatest Common Factor of 3928 and 3932 = 4

Step 1: Find the prime factorization of 3928

3928 = 2 x 2 x 2 x 491

Step 2: Find the prime factorization of 3932

3932 = 2 x 2 x 983

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3928 and 3932 is 4