What is the Greatest Common Factor of 974 and 980?

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

GCF(974,980) = 2

We will now calculate the prime factors of 974 and 980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 974 and 980.

How to find the GCF of 974 and 980?

We will first find the prime factorization of 974 and 980. After we will calculate the factors of 974 and 980 and find the biggest common factor number .

Step-1: Prime Factorization of 974

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

974 = 2¹ × 487¹

Step-2: Prime Factorization of 980

Prime factors of 980 are 2, 5, 7. Prime factorization of 980 in exponential form is:

980 = 2² × 5¹ × 7²

Step-3: Factors of 974

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

1, 2, 487

Step-4: Factors of 980

List of positive integer factors of 980 that divides 974 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490

Final Step: Biggest Common Factor Number

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