What is the Greatest Common Factor of 93024 and 93038?

Greatest common factor (GCF) of 93024 and 93038 is 2.

GCF(93024,93038) = 2

We will now calculate the prime factors of 93024 and 93038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93024 and 93038.

How to find the GCF of 93024 and 93038?

We will first find the prime factorization of 93024 and 93038. After we will calculate the factors of 93024 and 93038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93038

Prime factors of 93038 are 2, 11, 4229. Prime factorization of 93038 in exponential form is:

93038 = 2¹ × 11¹ × 4229¹

Step-3: Factors of 93024

List of positive integer factors of 93024 that divides 93024 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

Step-4: Factors of 93038

List of positive integer factors of 93038 that divides 93024 without a remainder.

1, 2, 11, 22, 4229, 8458, 46519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93024 and 93038. The biggest common factor number is the GCF number.
So the greatest common factor 93024 and 93038 is 2.

Also check out the Least Common Multiple of 93024 and 93038