What is the Greatest Common Factor of 960 and 980?

Greatest common factor (GCF) of 960 and 980 is 20.

GCF(960,980) = 20

We will now calculate the prime factors of 960 and 980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 960 and 980.

How to find the GCF of 960 and 980?

We will first find the prime factorization of 960 and 980. After we will calculate the factors of 960 and 980 and find the biggest common factor number .

Step-1: Prime Factorization of 960

Prime factors of 960 are 2, 3, 5. Prime factorization of 960 in exponential form is:

960 = 2⁶ × 3¹ × 5¹

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 960

List of positive integer factors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480

Step-4: Factors of 980

List of positive integer factors of 980 that divides 960 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 960 and 980. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 980 is 20.

Also check out the Least Common Multiple of 960 and 980