What is the Greatest Common Factor of 6 and 960?

Greatest common factor (GCF) of 6 and 960 is 6.

GCF(6,960) = 6

We will now calculate the prime factors of 6 and 960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6 and 960.

How to find the GCF of 6 and 960?

We will first find the prime factorization of 6 and 960. After we will calculate the factors of 6 and 960 and find the biggest common factor number .

Step-1: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 2¹ × 3¹

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 6

List of positive integer factors of 6 that divides 6 without a remainder.

1, 2, 3

Step-4: Factors of 960

List of positive integer factors of 960 that divides 6 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 6 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 6 and 960 is 6.

Also check out the Least Common Multiple of 6 and 960