What is the Greatest Common Factor of 901 and 912?

Greatest common factor (GCF) of 901 and 912 is 1.

GCF(901,912) = 1

We will now calculate the prime factors of 901 and 912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 901 and 912.

How to find the GCF of 901 and 912?

We will first find the prime factorization of 901 and 912. After we will calculate the factors of 901 and 912 and find the biggest common factor number .

Step-1: Prime Factorization of 901

Prime factors of 901 are 17, 53. Prime factorization of 901 in exponential form is:

901 = 17¹ × 53¹

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 901

List of positive integer factors of 901 that divides 901 without a remainder.

1, 17, 53

Step-4: Factors of 912

List of positive integer factors of 912 that divides 901 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 901 and 912. The biggest common factor number is the GCF number.
So the greatest common factor 901 and 912 is 1.

Also check out the Least Common Multiple of 901 and 912