What is the Greatest Common Factor of 99060 and 99078?

Greatest common factor (GCF) of 99060 and 99078 is 6.

GCF(99060,99078) = 6

We will now calculate the prime factors of 99060 and 99078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99060 and 99078.

How to find the GCF of 99060 and 99078?

We will first find the prime factorization of 99060 and 99078. After we will calculate the factors of 99060 and 99078 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 99078

Prime factors of 99078 are 2, 3, 7, 337. Prime factorization of 99078 in exponential form is:

99078 = 2¹ × 3¹ × 7² × 337¹

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 99078

List of positive integer factors of 99078 that divides 99060 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 337, 674, 1011, 2022, 2359, 4718, 7077, 14154, 16513, 33026, 49539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99060 and 99078. The biggest common factor number is the GCF number.
So the greatest common factor 99060 and 99078 is 6.

Also check out the Least Common Multiple of 99060 and 99078