What is the Greatest Common Factor of 99060 and 99065?

Greatest common factor (GCF) of 99060 and 99065 is 5.

GCF(99060,99065) = 5

We will now calculate the prime factors of 99060 and 99065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99060 and 99065.

How to find the GCF of 99060 and 99065?

We will first find the prime factorization of 99060 and 99065. After we will calculate the factors of 99060 and 99065 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 99065

Prime factors of 99065 are 5, 19813. Prime factorization of 99065 in exponential form is:

99065 = 5¹ × 19813¹

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 99065

List of positive integer factors of 99065 that divides 99060 without a remainder.

1, 5, 19813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99060 and 99065. The biggest common factor number is the GCF number.
So the greatest common factor 99060 and 99065 is 5.

Also check out the Least Common Multiple of 99060 and 99065