What is the Greatest Common Factor of 93024 and 93030?

Greatest common factor (GCF) of 93024 and 93030 is 6.

GCF(93024,93030) = 6

We will now calculate the prime factors of 93024 and 93030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93024 and 93030.

How to find the GCF of 93024 and 93030?

We will first find the prime factorization of 93024 and 93030. After we will calculate the factors of 93024 and 93030 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 93030

Prime factors of 93030 are 2, 3, 5, 7, 443. Prime factorization of 93030 in exponential form is:

93030 = 2¹ × 3¹ × 5¹ × 7¹ × 443¹

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 93030

List of positive integer factors of 93030 that divides 93024 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 443, 886, 1329, 2215, 2658, 3101, 4430, 6202, 6645, 9303, 13290, 15505, 18606, 31010, 46515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93024 and 93030. The biggest common factor number is the GCF number.
So the greatest common factor 93024 and 93030 is 6.

Also check out the Least Common Multiple of 93024 and 93030