What is the Greatest Common Factor of 888 and 906?

Greatest common factor (GCF) of 888 and 906 is 6.

GCF(888,906) = 6

We will now calculate the prime factors of 888 and 906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 888 and 906.

How to find the GCF of 888 and 906?

We will first find the prime factorization of 888 and 906. After we will calculate the factors of 888 and 906 and find the biggest common factor number .

Step-1: Prime Factorization of 888

Prime factors of 888 are 2, 3, 37. Prime factorization of 888 in exponential form is:

888 = 2³ × 3¹ × 37¹

Step-2: 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-3: Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444

Step-4: Factors of 906

List of positive integer factors of 906 that divides 888 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 888 and 906. The biggest common factor number is the GCF number.
So the greatest common factor 888 and 906 is 6.

Also check out the Least Common Multiple of 888 and 906