What is the Greatest Common Factor of 90120 and 90135?

Greatest common factor (GCF) of 90120 and 90135 is 15.

GCF(90120,90135) = 15

We will now calculate the prime factors of 90120 and 90135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90120 and 90135.

How to find the GCF of 90120 and 90135?

We will first find the prime factorization of 90120 and 90135. After we will calculate the factors of 90120 and 90135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90135

Prime factors of 90135 are 3, 5, 2003. Prime factorization of 90135 in exponential form is:

90135 = 3² × 5¹ × 2003¹

Step-3: Factors of 90120

List of positive integer factors of 90120 that divides 90120 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

Step-4: Factors of 90135

List of positive integer factors of 90135 that divides 90120 without a remainder.

1, 3, 5, 9, 15, 45, 2003, 6009, 10015, 18027, 30045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90120 and 90135. The biggest common factor number is the GCF number.
So the greatest common factor 90120 and 90135 is 15.

Also check out the Least Common Multiple of 90120 and 90135