Greatest Common Factor of 975 and 982

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

Greatest common factor (GCF) of 975 and 982 is 1.

GCF(975,982) = 1

GCF of 975 and 982

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

GCF of:
and

Greatest Common Factor of 975 and 982

GCF of 975 and 982 is 1

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 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

∴ So by taking common prime factors GCF of 975 and 982 is 1

Greatest Common Factor of 975 and 982 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 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors and prime factorization of 975 and 982. The biggest common factor number is the GCF number.
So the greatest common factor 975 and 982 is 1.

Also check out the Least Common Multiple of 975 and 982

Properties of GCF 975 and 982

(i) The GCF of 975 and 982 is associative

GCF of 975 and 982 = GCF of 982 and 975

Related Greatest Common Factor of 975

Related Greatest Common Factor of 982

Frequently Asked Questions on GCF of 975 and 982

1. What is the GCF of 975 and 982?

Answer: GCF of 975 and 982 is 1.

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 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

4. How to Find the GCF of 975 and 982?

Answer:

Greatest Common Factor of 975 and 982 = 1

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 982

982 = 2 x 491

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 975 and 982 is 1