Greatest Common Factor of 975 and 980

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, 980 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 975 and 980 is 5.

GCF(975,980) = 5

GCF of 975 and 980

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

GCF of:
and

Greatest Common Factor of 975 and 980

GCF of 975 and 980 is 5

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 980


2 980
2 490
5 245
7 49
7 7
1

Prime factors of 980 are 2,5,7. Prime factorization of 980 in exponential form is:

980 = 22×51×72

∴ So by taking common prime factors GCF of 975 and 980 is 5

Greatest Common Factor of 975 and 980 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 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors and prime factorization of 975 and 980. The biggest common factor number is the GCF number.
So the greatest common factor 975 and 980 is 5.

Also check out the Least Common Multiple of 975 and 980

Properties of GCF 975 and 980

(i) The GCF of 975 and 980 is associative

GCF of 975 and 980 = GCF of 980 and 975

Related Greatest Common Factor of 975

Related Greatest Common Factor of 980

Frequently Asked Questions on GCF of 975 and 980

1. What is the GCF of 975 and 980?

Answer: GCF of 975 and 980 is 5.

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 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

4. How to Find the GCF of 975 and 980?

Answer:

Greatest Common Factor of 975 and 980 = 5

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

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

GCF = 5

Step 4: Therefore, the greatest common factor of 975 and 980 is 5