What is the Greatest Common Factor of 93015 and 93024?

Greatest common factor (GCF) of 93015 and 93024 is 9.

GCF(93015,93024) = 9

We will now calculate the prime factors of 93015 and 93024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93015 and 93024.

How to find the GCF of 93015 and 93024?

We will first find the prime factorization of 93015 and 93024. After we will calculate the factors of 93015 and 93024 and find the biggest common factor number .

Step-1: Prime Factorization of 93015

Prime factors of 93015 are 3, 5, 13, 53. Prime factorization of 93015 in exponential form is:

93015 = 3³ × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 93024

Prime factors of 93024 are 2, 3, 17, 19. Prime factorization of 93024 in exponential form is:

93024 = 2⁵ × 3² × 17¹ × 19¹

Step-3: Factors of 93015

List of positive integer factors of 93015 that divides 93015 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 53, 65, 117, 135, 159, 195, 265, 351, 477, 585, 689, 795, 1431, 1755, 2067, 2385, 3445, 6201, 7155, 10335, 18603, 31005

Step-4: Factors of 93024

List of positive integer factors of 93024 that divides 93015 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 19, 24, 32, 34, 36, 38, 48, 51, 57, 68, 72, 76, 96, 102, 114, 136, 144, 152, 153, 171, 204, 228, 272, 288, 304, 306, 323, 342, 408, 456, 544, 608, 612, 646, 684, 816, 912, 969, 1224, 1292, 1368, 1632, 1824, 1938, 2448, 2584, 2736, 2907, 3876, 4896, 5168, 5472, 5814, 7752, 10336, 11628, 15504, 23256, 31008, 46512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93015 and 93024. The biggest common factor number is the GCF number.
So the greatest common factor 93015 and 93024 is 9.

Also check out the Least Common Multiple of 93015 and 93024