What is the Greatest Common Factor of 90900 and 90912?

Greatest common factor (GCF) of 90900 and 90912 is 12.

GCF(90900,90912) = 12

We will now calculate the prime factors of 90900 and 90912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90900 and 90912.

How to find the GCF of 90900 and 90912?

We will first find the prime factorization of 90900 and 90912. After we will calculate the factors of 90900 and 90912 and find the biggest common factor number .

Step-1: Prime Factorization of 90900

Prime factors of 90900 are 2, 3, 5, 101. Prime factorization of 90900 in exponential form is:

90900 = 2² × 3² × 5² × 101¹

Step-2: Prime Factorization of 90912

Prime factors of 90912 are 2, 3, 947. Prime factorization of 90912 in exponential form is:

90912 = 2⁵ × 3¹ × 947¹

Step-3: Factors of 90900

List of positive integer factors of 90900 that divides 90900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 101, 150, 180, 202, 225, 300, 303, 404, 450, 505, 606, 900, 909, 1010, 1212, 1515, 1818, 2020, 2525, 3030, 3636, 4545, 5050, 6060, 7575, 9090, 10100, 15150, 18180, 22725, 30300, 45450

Step-4: Factors of 90912

List of positive integer factors of 90912 that divides 90900 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 947, 1894, 2841, 3788, 5682, 7576, 11364, 15152, 22728, 30304, 45456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90900 and 90912. The biggest common factor number is the GCF number.
So the greatest common factor 90900 and 90912 is 12.

Also check out the Least Common Multiple of 90900 and 90912