Greatest Common Factor of 7971 and 7977

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, 7977 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7971 and 7977 is 3.

GCF(7971,7977) = 3

GCF of 7971 and 7977

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

GCF of:
and

Greatest Common Factor of 7971 and 7977

GCF of 7971 and 7977 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 7977


3 7977
2659 2659
1

Prime factors of 7977 are 3,2659. Prime factorization of 7977 in exponential form is:

7977 = 31×26591

∴ So by taking common prime factors GCF of 7971 and 7977 is 3

Greatest Common Factor of 7971 and 7977 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 7977

List of positive integer factors of 7977 that divides 7977 without a remainder.

1,3,2659,7977

Greatest Common Factor

We found the factors and prime factorization of 7971 and 7977. The biggest common factor number is the GCF number.
So the greatest common factor 7971 and 7977 is 3.

Also check out the Least Common Multiple of 7971 and 7977

Properties of GCF 7971 and 7977

(i) The GCF of 7971 and 7977 is associative

GCF of 7971 and 7977 = GCF of 7977 and 7971

Related Greatest Common Factor of 7971

Related Greatest Common Factor of 7977

Frequently Asked Questions on GCF of 7971 and 7977

1. What is the GCF of 7971 and 7977?

Answer: GCF of 7971 and 7977 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 7977?

Answer: Factors of 7977 are 1, 3, 2659, 7977. There are 4 integers that are factors of 7977. The greatest factor of 7977 is 7977.

4. How to Find the GCF of 7971 and 7977?

Answer:

Greatest Common Factor of 7971 and 7977 = 3

Step 1: Find the prime factorization of 7971

7971 = 3 x 2657

Step 2: Find the prime factorization of 7977

7977 = 3 x 2659

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 7977 is 3