Greatest Common Factor of 975 and 981

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 975, 981 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 975 and 981 is 3.

GCF(975,981) = 3

GCF of 975 and 981

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

GCF of:
and

Greatest Common Factor of 975 and 981

GCF of 975 and 981 is 3

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3,5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

Prime Factorization of 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

∴ So by taking common prime factors GCF of 975 and 981 is 3

Greatest Common Factor of 975 and 981 by matching factors method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors and prime factorization of 975 and 981. The biggest common factor number is the GCF number.
So the greatest common factor 975 and 981 is 3.

Also check out the Least Common Multiple of 975 and 981

Properties of GCF 975 and 981

(i) The GCF of 975 and 981 is associative

GCF of 975 and 981 = GCF of 981 and 975

Related Greatest Common Factor of 975

Related Greatest Common Factor of 981

Frequently Asked Questions on GCF of 975 and 981

1. What is the GCF of 975 and 981?

Answer: GCF of 975 and 981 is 3.

2. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

3. What are the Factors of 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

4. How to Find the GCF of 975 and 981?

Answer:

Greatest Common Factor of 975 and 981 = 3

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 981

981 = 3 x 3 x 109

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 975 and 981 is 3