Greatest Common Factor of 974 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 974, 980 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 974 and 980 is 2.

GCF(974,980) = 2

GCF of 974 and 980

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

GCF of:
and

Greatest Common Factor of 974 and 980

GCF of 974 and 980 is 2

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 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 974 and 980 is 2

Greatest Common Factor of 974 and 980 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 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 974 and 980. The biggest common factor number is the GCF number.
So the greatest common factor 974 and 980 is 2.

Also check out the Least Common Multiple of 974 and 980

Properties of GCF 974 and 980

(i) The GCF of 974 and 980 is associative

GCF of 974 and 980 = GCF of 980 and 974

Related Greatest Common Factor of 974

Related Greatest Common Factor of 980

Frequently Asked Questions on GCF of 974 and 980

1. What is the GCF of 974 and 980?

Answer: GCF of 974 and 980 is 2.

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 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 974 and 980?

Answer:

Greatest Common Factor of 974 and 980 = 2

Step 1: Find the prime factorization of 974

974 = 2 x 487

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 = 2

Step 4: Therefore, the greatest common factor of 974 and 980 is 2