Greatest Common Factor of 7977 and 7983

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 7977, 7983 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7977 and 7983 is 3.

GCF(7977,7983) = 3

GCF of 7977 and 7983

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

GCF of:
and

Greatest Common Factor of 7977 and 7983

GCF of 7977 and 7983 is 3

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

Prime Factorization of 7983


3 7983
3 2661
887 887
1

Prime factors of 7983 are 3,887. Prime factorization of 7983 in exponential form is:

7983 = 32×8871

∴ So by taking common prime factors GCF of 7977 and 7983 is 3

Greatest Common Factor of 7977 and 7983 by matching factors method

Factors of 7977

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

1,3,2659,7977

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1,3,9,887,2661,7983

Greatest Common Factor

We found the factors and prime factorization of 7977 and 7983. The biggest common factor number is the GCF number.
So the greatest common factor 7977 and 7983 is 3.

Also check out the Least Common Multiple of 7977 and 7983

Properties of GCF 7977 and 7983

(i) The GCF of 7977 and 7983 is associative

GCF of 7977 and 7983 = GCF of 7983 and 7977

Related Greatest Common Factor of 7977

Related Greatest Common Factor of 7983

Frequently Asked Questions on GCF of 7977 and 7983

1. What is the GCF of 7977 and 7983?

Answer: GCF of 7977 and 7983 is 3.

2. 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.

3. What are the Factors of 7983?

Answer: Factors of 7983 are 1, 3, 9, 887, 2661, 7983. There are 6 integers that are factors of 7983. The greatest factor of 7983 is 7983.

4. How to Find the GCF of 7977 and 7983?

Answer:

Greatest Common Factor of 7977 and 7983 = 3

Step 1: Find the prime factorization of 7977

7977 = 3 x 2659

Step 2: Find the prime factorization of 7983

7983 = 3 x 3 x 887

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 7977 and 7983 is 3