What is the Greatest Common Factor of 90108 and 90120?

Greatest common factor (GCF) of 90108 and 90120 is 12.

GCF(90108,90120) = 12

We will now calculate the prime factors of 90108 and 90120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90108 and 90120.

How to find the GCF of 90108 and 90120?

We will first find the prime factorization of 90108 and 90120. After we will calculate the factors of 90108 and 90120 and find the biggest common factor number .

Step-1: Prime Factorization of 90108

Prime factors of 90108 are 2, 3, 2503. Prime factorization of 90108 in exponential form is:

90108 = 2² × 3² × 2503¹

Step-2: Prime Factorization of 90120

Prime factors of 90120 are 2, 3, 5, 751. Prime factorization of 90120 in exponential form is:

90120 = 2³ × 3¹ × 5¹ × 751¹

Step-3: Factors of 90108

List of positive integer factors of 90108 that divides 90108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2503, 5006, 7509, 10012, 15018, 22527, 30036, 45054

Step-4: Factors of 90120

List of positive integer factors of 90120 that divides 90108 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 751, 1502, 2253, 3004, 3755, 4506, 6008, 7510, 9012, 11265, 15020, 18024, 22530, 30040, 45060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90108 and 90120. The biggest common factor number is the GCF number.
So the greatest common factor 90108 and 90120 is 12.

Also check out the Least Common Multiple of 90108 and 90120