Greatest Common Factor of 974 and 979

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 974, 979 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 974 and 979 is 1.

GCF(974,979) = 1

GCF of 974 and 979

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

GCF of:
and

Greatest Common Factor of 974 and 979

GCF of 974 and 979 is 1

Prime Factorization of 974


2 974
487 487
1

Prime factors of 974 are 2,487. Prime factorization of 974 in exponential form is:

974 = 21×4871

Prime Factorization of 979


11 979
89 89
1

Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:

979 = 111×891

∴ So by taking common prime factors GCF of 974 and 979 is 1

Greatest Common Factor of 974 and 979 by matching factors method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors and prime factorization of 974 and 979. The biggest common factor number is the GCF number.
So the greatest common factor 974 and 979 is 1.

Also check out the Least Common Multiple of 974 and 979

Properties of GCF 974 and 979

(i) The GCF of 974 and 979 is associative

GCF of 974 and 979 = GCF of 979 and 974

Related Greatest Common Factor of 974

Related Greatest Common Factor of 979

Frequently Asked Questions on GCF of 974 and 979

1. What is the GCF of 974 and 979?

Answer: GCF of 974 and 979 is 1.

2. What are the Factors of 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

3. What are the Factors of 979?

Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.

4. How to Find the GCF of 974 and 979?

Answer:

Greatest Common Factor of 974 and 979 = 1

Step 1: Find the prime factorization of 974

974 = 2 x 487

Step 2: Find the prime factorization of 979

979 = 11 x 89

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 974 and 979 is 1