What is the Greatest Common Factor of 906 and 915?

Greatest common factor (GCF) of 906 and 915 is 3.

GCF(906,915) = 3

We will now calculate the prime factors of 906 and 915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 906 and 915.

How to find the GCF of 906 and 915?

We will first find the prime factorization of 906 and 915. After we will calculate the factors of 906 and 915 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 915

Prime factors of 915 are 3, 5, 61. Prime factorization of 915 in exponential form is:

915 = 3¹ × 5¹ × 61¹

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 915

List of positive integer factors of 915 that divides 906 without a remainder.

1, 3, 5, 15, 61, 183, 305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 906 and 915. The biggest common factor number is the GCF number.
So the greatest common factor 906 and 915 is 3.

Also check out the Least Common Multiple of 906 and 915