What is the Greatest Common Factor of 99060 and 99075?

Greatest common factor (GCF) of 99060 and 99075 is 15.

GCF(99060,99075) = 15

We will now calculate the prime factors of 99060 and 99075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99060 and 99075.

How to find the GCF of 99060 and 99075?

We will first find the prime factorization of 99060 and 99075. After we will calculate the factors of 99060 and 99075 and find the biggest common factor number .

Step-1: Prime Factorization of 99060

Prime factors of 99060 are 2, 3, 5, 13, 127. Prime factorization of 99060 in exponential form is:

99060 = 2² × 3¹ × 5¹ × 13¹ × 127¹

Step-2: Prime Factorization of 99075

Prime factors of 99075 are 3, 5, 1321. Prime factorization of 99075 in exponential form is:

99075 = 3¹ × 5² × 1321¹

Step-3: Factors of 99060

List of positive integer factors of 99060 that divides 99060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 127, 130, 156, 195, 254, 260, 381, 390, 508, 635, 762, 780, 1270, 1524, 1651, 1905, 2540, 3302, 3810, 4953, 6604, 7620, 8255, 9906, 16510, 19812, 24765, 33020, 49530

Step-4: Factors of 99075

List of positive integer factors of 99075 that divides 99060 without a remainder.

1, 3, 5, 15, 25, 75, 1321, 3963, 6605, 19815, 33025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99060 and 99075. The biggest common factor number is the GCF number.
So the greatest common factor 99060 and 99075 is 15.

Also check out the Least Common Multiple of 99060 and 99075