What is the Greatest Common Factor of 672 and 960?

Greatest common factor (GCF) of 672 and 960 is 96.

GCF(672,960) = 96

We will now calculate the prime factors of 672 and 960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 672 and 960.

How to find the GCF of 672 and 960?

We will first find the prime factorization of 672 and 960. After we will calculate the factors of 672 and 960 and find the biggest common factor number .

Step-1: Prime Factorization of 672

Prime factors of 672 are 2, 3, 7. Prime factorization of 672 in exponential form is:

672 = 2⁵ × 3¹ × 7¹

Step-2: 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-3: Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336

Step-4: Factors of 960

List of positive integer factors of 960 that divides 672 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 672 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 672 and 960 is 96.

Also check out the Least Common Multiple of 672 and 960