What is the Greatest Common Factor of 900 and 904?

Greatest common factor (GCF) of 900 and 904 is 4.

GCF(900,904) = 4

We will now calculate the prime factors of 900 and 904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 900 and 904.

How to find the GCF of 900 and 904?

We will first find the prime factorization of 900 and 904. After we will calculate the factors of 900 and 904 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 904

Prime factors of 904 are 2, 113. Prime factorization of 904 in exponential form is:

904 = 2³ × 113¹

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 904

List of positive integer factors of 904 that divides 900 without a remainder.

1, 2, 4, 8, 113, 226, 452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 900 and 904. The biggest common factor number is the GCF number.
So the greatest common factor 900 and 904 is 4.

Also check out the Least Common Multiple of 900 and 904