What is the Greatest Common Factor of 93024 and 93041?

Greatest common factor (GCF) of 93024 and 93041 is 17.

GCF(93024,93041) = 17

We will now calculate the prime factors of 93024 and 93041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93024 and 93041.

How to find the GCF of 93024 and 93041?

We will first find the prime factorization of 93024 and 93041. After we will calculate the factors of 93024 and 93041 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 93041

Prime factors of 93041 are 13, 17, 421. Prime factorization of 93041 in exponential form is:

93041 = 13¹ × 17¹ × 421¹

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 93041

List of positive integer factors of 93041 that divides 93024 without a remainder.

1, 13, 17, 221, 421, 5473, 7157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93024 and 93041. The biggest common factor number is the GCF number.
So the greatest common factor 93024 and 93041 is 17.

Also check out the Least Common Multiple of 93024 and 93041