Greatest Common Factor of 3956 and 3964

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 3956, 3964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3956 and 3964 is 4.

GCF(3956,3964) = 4

GCF of 3956 and 3964

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

GCF of:
and

Greatest Common Factor of 3956 and 3964

GCF of 3956 and 3964 is 4

Prime Factorization of 3956


2 3956
2 1978
23 989
43 43
1

Prime factors of 3956 are 2,23,43. Prime factorization of 3956 in exponential form is:

3956 = 22×231×431

Prime Factorization of 3964


2 3964
2 1982
991 991
1

Prime factors of 3964 are 2,991. Prime factorization of 3964 in exponential form is:

3964 = 22×9911

∴ So by taking common prime factors GCF of 3956 and 3964 is 4

Greatest Common Factor of 3956 and 3964 by matching factors method

Factors of 3956

List of positive integer factors of 3956 that divides 3956 without a remainder.

1,2,4,23,43,46,86,92,172,989,1978,3956

Factors of 3964

List of positive integer factors of 3964 that divides 3964 without a remainder.

1,2,4,991,1982,3964

Greatest Common Factor

We found the factors and prime factorization of 3956 and 3964. The biggest common factor number is the GCF number.
So the greatest common factor 3956 and 3964 is 4.

Also check out the Least Common Multiple of 3956 and 3964

Properties of GCF 3956 and 3964

(i) The GCF of 3956 and 3964 is associative

GCF of 3956 and 3964 = GCF of 3964 and 3956

Related Greatest Common Factor of 3956

Related Greatest Common Factor of 3964

Frequently Asked Questions on GCF of 3956 and 3964

1. What is the GCF of 3956 and 3964?

Answer: GCF of 3956 and 3964 is 4.

2. What are the Factors of 3956?

Answer: Factors of 3956 are 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978, 3956. There are 12 integers that are factors of 3956. The greatest factor of 3956 is 3956.

3. What are the Factors of 3964?

Answer: Factors of 3964 are 1, 2, 4, 991, 1982, 3964. There are 6 integers that are factors of 3964. The greatest factor of 3964 is 3964.

4. How to Find the GCF of 3956 and 3964?

Answer:

Greatest Common Factor of 3956 and 3964 = 4

Step 1: Find the prime factorization of 3956

3956 = 2 x 2 x 23 x 43

Step 2: Find the prime factorization of 3964

3964 = 2 x 2 x 991

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 3956 and 3964 is 4