What is the Greatest Common Factor of 902 and 912?

Greatest common factor (GCF) of 902 and 912 is 2.

GCF(902,912) = 2

We will now calculate the prime factors of 902 and 912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 902 and 912.

How to find the GCF of 902 and 912?

We will first find the prime factorization of 902 and 912. After we will calculate the factors of 902 and 912 and find the biggest common factor number .

Step-1: Prime Factorization of 902

Prime factors of 902 are 2, 11, 41. Prime factorization of 902 in exponential form is:

902 = 2¹ × 11¹ × 41¹

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 902

List of positive integer factors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451

Step-4: Factors of 912

List of positive integer factors of 912 that divides 902 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 902 and 912. The biggest common factor number is the GCF number.
So the greatest common factor 902 and 912 is 2.

Also check out the Least Common Multiple of 902 and 912