What is the Greatest Common Factor of 906 and 912?

Greatest common factor (GCF) of 906 and 912 is 6.

GCF(906,912) = 6

We will now calculate the prime factors of 906 and 912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 906 and 912.

How to find the GCF of 906 and 912?

We will first find the prime factorization of 906 and 912. After we will calculate the factors of 906 and 912 and find the biggest common factor number .

Step-1: Prime Factorization of 906

Prime factors of 906 are 2, 3, 151. Prime factorization of 906 in exponential form is:

906 = 2¹ × 3¹ × 151¹

Step-2: Prime Factorization of 912

Prime factors of 912 are 2, 3, 19. Prime factorization of 912 in exponential form is:

912 = 2⁴ × 3¹ × 19¹

Step-3: Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453

Step-4: Factors of 912

List of positive integer factors of 912 that divides 906 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 906 and 912. The biggest common factor number is the GCF number.
So the greatest common factor 906 and 912 is 6.

Also check out the Least Common Multiple of 906 and 912