Greatest Common Factor of 971 and 975

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 971, 975 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 971 and 975 is 1.

GCF(971,975) = 1

GCF of 971 and 975

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

GCF of:
and

Greatest Common Factor of 971 and 975

GCF of 971 and 975 is 1

Prime Factorization of 971


971 971
1

Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:

971 = 9711

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

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

975 = 31×52×131

∴ So by taking common prime factors GCF of 971 and 975 is 1

Greatest Common Factor of 971 and 975 by matching factors method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

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

Greatest Common Factor

We found the factors and prime factorization of 971 and 975. The biggest common factor number is the GCF number.
So the greatest common factor 971 and 975 is 1.

Also check out the Least Common Multiple of 971 and 975

Properties of GCF 971 and 975

(i) The GCF of 971 and 975 is associative

GCF of 971 and 975 = GCF of 975 and 971

Related Greatest Common Factor of 971

Related Greatest Common Factor of 975

Frequently Asked Questions on GCF of 971 and 975

1. What is the GCF of 971 and 975?

Answer: GCF of 971 and 975 is 1.

2. What are the Factors of 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

3. 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.

4. How to Find the GCF of 971 and 975?

Answer:

Greatest Common Factor of 971 and 975 = 1

Step 1: Find the prime factorization of 971

971 = 971

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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 971 and 975 is 1