Greatest Common Factor of 8973 and 8979

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 8973, 8979 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8973 and 8979 is 3.

GCF(8973,8979) = 3

GCF of 8973 and 8979

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

GCF of:
and

Greatest Common Factor of 8973 and 8979

GCF of 8973 and 8979 is 3

Prime Factorization of 8973


3 8973
3 2991
997 997
1

Prime factors of 8973 are 3,997. Prime factorization of 8973 in exponential form is:

8973 = 32×9971

Prime Factorization of 8979


3 8979
41 2993
73 73
1

Prime factors of 8979 are 3,41,73. Prime factorization of 8979 in exponential form is:

8979 = 31×411×731

∴ So by taking common prime factors GCF of 8973 and 8979 is 3

Greatest Common Factor of 8973 and 8979 by matching factors method

Factors of 8973

List of positive integer factors of 8973 that divides 8973 without a remainder.

1,3,9,997,2991,8973

Factors of 8979

List of positive integer factors of 8979 that divides 8979 without a remainder.

1,3,41,73,123,219,2993,8979

Greatest Common Factor

We found the factors and prime factorization of 8973 and 8979. The biggest common factor number is the GCF number.
So the greatest common factor 8973 and 8979 is 3.

Also check out the Least Common Multiple of 8973 and 8979

Properties of GCF 8973 and 8979

(i) The GCF of 8973 and 8979 is associative

GCF of 8973 and 8979 = GCF of 8979 and 8973

Related Greatest Common Factor of 8973

Related Greatest Common Factor of 8979

Frequently Asked Questions on GCF of 8973 and 8979

1. What is the GCF of 8973 and 8979?

Answer: GCF of 8973 and 8979 is 3.

2. What are the Factors of 8973?

Answer: Factors of 8973 are 1, 3, 9, 997, 2991, 8973. There are 6 integers that are factors of 8973. The greatest factor of 8973 is 8973.

3. What are the Factors of 8979?

Answer: Factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979. There are 8 integers that are factors of 8979. The greatest factor of 8979 is 8979.

4. How to Find the GCF of 8973 and 8979?

Answer:

Greatest Common Factor of 8973 and 8979 = 3

Step 1: Find the prime factorization of 8973

8973 = 3 x 3 x 997

Step 2: Find the prime factorization of 8979

8979 = 3 x 41 x 73

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 8973 and 8979 is 3