Greatest Common Factor of 7971 and 7974

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 7971, 7974 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7971 and 7974 is 3.

GCF(7971,7974) = 3

GCF of 7971 and 7974

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

GCF of:
and

Greatest Common Factor of 7971 and 7974

GCF of 7971 and 7974 is 3

Prime Factorization of 7971


3 7971
2657 2657
1

Prime factors of 7971 are 3,2657. Prime factorization of 7971 in exponential form is:

7971 = 31×26571

Prime Factorization of 7974


2 7974
3 3987
3 1329
443 443
1

Prime factors of 7974 are 2,3,443. Prime factorization of 7974 in exponential form is:

7974 = 21×32×4431

∴ So by taking common prime factors GCF of 7971 and 7974 is 3

Greatest Common Factor of 7971 and 7974 by matching factors method

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors and prime factorization of 7971 and 7974. The biggest common factor number is the GCF number.
So the greatest common factor 7971 and 7974 is 3.

Also check out the Least Common Multiple of 7971 and 7974

Properties of GCF 7971 and 7974

(i) The GCF of 7971 and 7974 is associative

GCF of 7971 and 7974 = GCF of 7974 and 7971

Related Greatest Common Factor of 7971

Related Greatest Common Factor of 7974

Frequently Asked Questions on GCF of 7971 and 7974

1. What is the GCF of 7971 and 7974?

Answer: GCF of 7971 and 7974 is 3.

2. What are the Factors of 7971?

Answer: Factors of 7971 are 1, 3, 2657, 7971. There are 4 integers that are factors of 7971. The greatest factor of 7971 is 7971.

3. What are the Factors of 7974?

Answer: Factors of 7974 are 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974. There are 12 integers that are factors of 7974. The greatest factor of 7974 is 7974.

4. How to Find the GCF of 7971 and 7974?

Answer:

Greatest Common Factor of 7971 and 7974 = 3

Step 1: Find the prime factorization of 7971

7971 = 3 x 2657

Step 2: Find the prime factorization of 7974

7974 = 2 x 3 x 3 x 443

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7971 and 7974 is 3