Greatest Common Factor of 970 and 971

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 970, 971 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 970 and 971 is 1.

GCF(970,971) = 1

GCF of 970 and 971

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

GCF of:
and

Greatest Common Factor of 970 and 971

GCF of 970 and 971 is 1

Prime Factorization of 970


2 970
5 485
97 97
1

Prime factors of 970 are 2,5,97. Prime factorization of 970 in exponential form is:

970 = 21×51×971

Prime Factorization of 971


971 971
1

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

971 = 9711

∴ So by taking common prime factors GCF of 970 and 971 is 1

Greatest Common Factor of 970 and 971 by matching factors method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 971

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

1,971

Greatest Common Factor

We found the factors and prime factorization of 970 and 971. The biggest common factor number is the GCF number.
So the greatest common factor 970 and 971 is 1.

Also check out the Least Common Multiple of 970 and 971

Properties of GCF 970 and 971

(i) The GCF of 970 and 971 is associative

GCF of 970 and 971 = GCF of 971 and 970

Related Greatest Common Factor of 970

Related Greatest Common Factor of 971

Frequently Asked Questions on GCF of 970 and 971

1. What is the GCF of 970 and 971?

Answer: GCF of 970 and 971 is 1.

2. What are the Factors of 970?

Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.

3. 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.

4. How to Find the GCF of 970 and 971?

Answer:

Greatest Common Factor of 970 and 971 = 1

Step 1: Find the prime factorization of 970

970 = 2 x 5 x 97

Step 2: Find the prime factorization of 971

971 = 971

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 970 and 971 is 1