What is the Greatest Common Factor of 90120 and 90132?

Greatest common factor (GCF) of 90120 and 90132 is 12.

GCF(90120,90132) = 12

We will now calculate the prime factors of 90120 and 90132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90120 and 90132.

How to find the GCF of 90120 and 90132?

We will first find the prime factorization of 90120 and 90132. After we will calculate the factors of 90120 and 90132 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 90132

Prime factors of 90132 are 2, 3, 7, 29, 37. Prime factorization of 90132 in exponential form is:

90132 = 2² × 3¹ × 7¹ × 29¹ × 37¹

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 90132

List of positive integer factors of 90132 that divides 90120 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 37, 42, 58, 74, 84, 87, 111, 116, 148, 174, 203, 222, 259, 348, 406, 444, 518, 609, 777, 812, 1036, 1073, 1218, 1554, 2146, 2436, 3108, 3219, 4292, 6438, 7511, 12876, 15022, 22533, 30044, 45066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90120 and 90132. The biggest common factor number is the GCF number.
So the greatest common factor 90120 and 90132 is 12.

Also check out the Least Common Multiple of 90120 and 90132