What is the Greatest Common Factor of 960 and 970?

Greatest common factor (GCF) of 960 and 970 is 10.

GCF(960,970) = 10

We will now calculate the prime factors of 960 and 970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 960 and 970.

How to find the GCF of 960 and 970?

We will first find the prime factorization of 960 and 970. After we will calculate the factors of 960 and 970 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 970

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

970 = 2¹ × 5¹ × 97¹

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 970

List of positive integer factors of 970 that divides 960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 960 and 970. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 970 is 10.

Also check out the Least Common Multiple of 960 and 970