Greatest Common Factor of 3924 and 3931

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, 3931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3924 and 3931 is 1.

GCF(3924,3931) = 1

GCF of 3924 and 3931

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

GCF of:
and

Greatest Common Factor of 3924 and 3931

GCF of 3924 and 3931 is 1

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 3931


3931 3931
1

Prime factors of 3931 are 3931. Prime factorization of 3931 in exponential form is:

3931 = 39311

∴ So by taking common prime factors GCF of 3924 and 3931 is 1

Greatest Common Factor of 3924 and 3931 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 3931

List of positive integer factors of 3931 that divides 3931 without a remainder.

1,3931

Greatest Common Factor

We found the factors and prime factorization of 3924 and 3931. The biggest common factor number is the GCF number.
So the greatest common factor 3924 and 3931 is 1.

Also check out the Least Common Multiple of 3924 and 3931

Properties of GCF 3924 and 3931

(i) The GCF of 3924 and 3931 is associative

GCF of 3924 and 3931 = GCF of 3931 and 3924

Related Greatest Common Factor of 3924

Related Greatest Common Factor of 3931

Frequently Asked Questions on GCF of 3924 and 3931

1. What is the GCF of 3924 and 3931?

Answer: GCF of 3924 and 3931 is 1.

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 3931?

Answer: Factors of 3931 are 1, 3931. There are 2 integers that are factors of 3931. The greatest factor of 3931 is 3931.

4. How to Find the GCF of 3924 and 3931?

Answer:

Greatest Common Factor of 3924 and 3931 = 1

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 3931

3931 = 3931

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3924 and 3931 is 1