Greatest Common Factor of 3932 and 3940

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 3932, 3940 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3932 and 3940 is 4.

GCF(3932,3940) = 4

GCF of 3932 and 3940

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

GCF of:
and

Greatest Common Factor of 3932 and 3940

GCF of 3932 and 3940 is 4

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

Prime Factorization of 3940


2 3940
2 1970
5 985
197 197
1

Prime factors of 3940 are 2,5,197. Prime factorization of 3940 in exponential form is:

3940 = 22×51×1971

∴ So by taking common prime factors GCF of 3932 and 3940 is 4

Greatest Common Factor of 3932 and 3940 by matching factors method

Factors of 3932

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

1,2,4,983,1966,3932

Factors of 3940

List of positive integer factors of 3940 that divides 3940 without a remainder.

1,2,4,5,10,20,197,394,788,985,1970,3940

Greatest Common Factor

We found the factors and prime factorization of 3932 and 3940. The biggest common factor number is the GCF number.
So the greatest common factor 3932 and 3940 is 4.

Also check out the Least Common Multiple of 3932 and 3940

Properties of GCF 3932 and 3940

(i) The GCF of 3932 and 3940 is associative

GCF of 3932 and 3940 = GCF of 3940 and 3932

Related Greatest Common Factor of 3932

Related Greatest Common Factor of 3940

Frequently Asked Questions on GCF of 3932 and 3940

1. What is the GCF of 3932 and 3940?

Answer: GCF of 3932 and 3940 is 4.

2. 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.

3. What are the Factors of 3940?

Answer: Factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940. There are 12 integers that are factors of 3940. The greatest factor of 3940 is 3940.

4. How to Find the GCF of 3932 and 3940?

Answer:

Greatest Common Factor of 3932 and 3940 = 4

Step 1: Find the prime factorization of 3932

3932 = 2 x 2 x 983

Step 2: Find the prime factorization of 3940

3940 = 2 x 2 x 5 x 197

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 3932 and 3940 is 4