Greatest Common Factor of 3972 and 3974

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 3972, 3974 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3972 and 3974 is 2.

GCF(3972,3974) = 2

GCF of 3972 and 3974

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

GCF of:
and

Greatest Common Factor of 3972 and 3974

GCF of 3972 and 3974 is 2

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

Prime Factorization of 3974


2 3974
1987 1987
1

Prime factors of 3974 are 2,1987. Prime factorization of 3974 in exponential form is:

3974 = 21×19871

∴ So by taking common prime factors GCF of 3972 and 3974 is 2

Greatest Common Factor of 3972 and 3974 by matching factors method

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

Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1,2,1987,3974

Greatest Common Factor

We found the factors and prime factorization of 3972 and 3974. The biggest common factor number is the GCF number.
So the greatest common factor 3972 and 3974 is 2.

Also check out the Least Common Multiple of 3972 and 3974

Properties of GCF 3972 and 3974

(i) The GCF of 3972 and 3974 is associative

GCF of 3972 and 3974 = GCF of 3974 and 3972

Related Greatest Common Factor of 3972

Related Greatest Common Factor of 3974

Frequently Asked Questions on GCF of 3972 and 3974

1. What is the GCF of 3972 and 3974?

Answer: GCF of 3972 and 3974 is 2.

2. 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.

3. What are the Factors of 3974?

Answer: Factors of 3974 are 1, 2, 1987, 3974. There are 4 integers that are factors of 3974. The greatest factor of 3974 is 3974.

4. How to Find the GCF of 3972 and 3974?

Answer:

Greatest Common Factor of 3972 and 3974 = 2

Step 1: Find the prime factorization of 3972

3972 = 2 x 2 x 3 x 331

Step 2: Find the prime factorization of 3974

3974 = 2 x 1987

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3972 and 3974 is 2