What is the Greatest Common Factor of 960 and 973?

Greatest common factor (GCF) of 960 and 973 is 1.

GCF(960,973) = 1

We will now calculate the prime factors of 960 and 973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 960 and 973.

How to find the GCF of 960 and 973?

We will first find the prime factorization of 960 and 973. After we will calculate the factors of 960 and 973 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 973

Prime factors of 973 are 7, 139. Prime factorization of 973 in exponential form is:

973 = 7¹ × 139¹

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 973

List of positive integer factors of 973 that divides 960 without a remainder.

1, 7, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 960 and 973. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 973 is 1.

Also check out the Least Common Multiple of 960 and 973