Greatest Common Factor of 3964 and 3972

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 3964, 3972 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3964 and 3972 is 4.

GCF(3964,3972) = 4

GCF of 3964 and 3972

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

GCF of:
and

Greatest Common Factor of 3964 and 3972

GCF of 3964 and 3972 is 4

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

Prime Factorization of 3972


2 3972
2 1986
3 993
331 331
1

Prime factors of 3972 are 2,3,331. Prime factorization of 3972 in exponential form is:

3972 = 22×31×3311

∴ So by taking common prime factors GCF of 3964 and 3972 is 4

Greatest Common Factor of 3964 and 3972 by matching factors method

Factors of 3964

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

1,2,4,991,1982,3964

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1,2,3,4,6,12,331,662,993,1324,1986,3972

Greatest Common Factor

We found the factors and prime factorization of 3964 and 3972. The biggest common factor number is the GCF number.
So the greatest common factor 3964 and 3972 is 4.

Also check out the Least Common Multiple of 3964 and 3972

Properties of GCF 3964 and 3972

(i) The GCF of 3964 and 3972 is associative

GCF of 3964 and 3972 = GCF of 3972 and 3964

Related Greatest Common Factor of 3964

Related Greatest Common Factor of 3972

Frequently Asked Questions on GCF of 3964 and 3972

1. What is the GCF of 3964 and 3972?

Answer: GCF of 3964 and 3972 is 4.

2. 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.

3. What are the Factors of 3972?

Answer: Factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. There are 12 integers that are factors of 3972. The greatest factor of 3972 is 3972.

4. How to Find the GCF of 3964 and 3972?

Answer:

Greatest Common Factor of 3964 and 3972 = 4

Step 1: Find the prime factorization of 3964

3964 = 2 x 2 x 991

Step 2: Find the prime factorization of 3972

3972 = 2 x 2 x 3 x 331

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 3964 and 3972 is 4