Greatest Common Factor of 3924 and 3928

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 3924, 3928 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3924 and 3928 is 4.

GCF(3924,3928) = 4

GCF of 3924 and 3928

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

GCF of:
and

Greatest Common Factor of 3924 and 3928

GCF of 3924 and 3928 is 4

Prime Factorization of 3924


2 3924
2 1962
3 981
3 327
109 109
1

Prime factors of 3924 are 2,3,109. Prime factorization of 3924 in exponential form is:

3924 = 22×32×1091

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

∴ So by taking common prime factors GCF of 3924 and 3928 is 4

Greatest Common Factor of 3924 and 3928 by matching factors method

Factors of 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924

Factors of 3928

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

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

Greatest Common Factor

We found the factors and prime factorization of 3924 and 3928. The biggest common factor number is the GCF number.
So the greatest common factor 3924 and 3928 is 4.

Also check out the Least Common Multiple of 3924 and 3928

Properties of GCF 3924 and 3928

(i) The GCF of 3924 and 3928 is associative

GCF of 3924 and 3928 = GCF of 3928 and 3924

Related Greatest Common Factor of 3924

Related Greatest Common Factor of 3928

Frequently Asked Questions on GCF of 3924 and 3928

1. What is the GCF of 3924 and 3928?

Answer: GCF of 3924 and 3928 is 4.

2. What are the Factors of 3924?

Answer: Factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924. There are 18 integers that are factors of 3924. The greatest factor of 3924 is 3924.

3. 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.

4. How to Find the GCF of 3924 and 3928?

Answer:

Greatest Common Factor of 3924 and 3928 = 4

Step 1: Find the prime factorization of 3924

3924 = 2 x 2 x 3 x 3 x 109

Step 2: Find the prime factorization of 3928

3928 = 2 x 2 x 2 x 491

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 3924 and 3928 is 4