What is the Greatest Common Factor of 900 and 908?

Greatest common factor (GCF) of 900 and 908 is 4.

GCF(900,908) = 4

We will now calculate the prime factors of 900 and 908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 900 and 908.

How to find the GCF of 900 and 908?

We will first find the prime factorization of 900 and 908. After we will calculate the factors of 900 and 908 and find the biggest common factor number .

Step-1: Prime Factorization of 900

Prime factors of 900 are 2, 3, 5. Prime factorization of 900 in exponential form is:

900 = 2² × 3² × 5²

Step-2: Prime Factorization of 908

Prime factors of 908 are 2, 227. Prime factorization of 908 in exponential form is:

908 = 2² × 227¹

Step-3: Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450

Step-4: Factors of 908

List of positive integer factors of 908 that divides 900 without a remainder.

1, 2, 4, 227, 454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 900 and 908. The biggest common factor number is the GCF number.
So the greatest common factor 900 and 908 is 4.

Also check out the Least Common Multiple of 900 and 908