Greatest Common Factor of 7977 and 7981

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, 7981 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7977 and 7981 is 1.

GCF(7977,7981) = 1

GCF of 7977 and 7981

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

GCF of:
and

Greatest Common Factor of 7977 and 7981

GCF of 7977 and 7981 is 1

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 7981


23 7981
347 347
1

Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:

7981 = 231×3471

∴ So by taking common prime factors GCF of 7977 and 7981 is 1

Greatest Common Factor of 7977 and 7981 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 7981

List of positive integer factors of 7981 that divides 7981 without a remainder.

1,23,347,7981

Greatest Common Factor

We found the factors and prime factorization of 7977 and 7981. The biggest common factor number is the GCF number.
So the greatest common factor 7977 and 7981 is 1.

Also check out the Least Common Multiple of 7977 and 7981

Properties of GCF 7977 and 7981

(i) The GCF of 7977 and 7981 is associative

GCF of 7977 and 7981 = GCF of 7981 and 7977

Related Greatest Common Factor of 7977

Related Greatest Common Factor of 7981

Frequently Asked Questions on GCF of 7977 and 7981

1. What is the GCF of 7977 and 7981?

Answer: GCF of 7977 and 7981 is 1.

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 7981?

Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.

4. How to Find the GCF of 7977 and 7981?

Answer:

Greatest Common Factor of 7977 and 7981 = 1

Step 1: Find the prime factorization of 7977

7977 = 3 x 2659

Step 2: Find the prime factorization of 7981

7981 = 23 x 347

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7977 and 7981 is 1