What is the Greatest Common Factor of 57006 and 57024?

Greatest common factor (GCF) of 57006 and 57024 is 18.

GCF(57006,57024) = 18

We will now calculate the prime factors of 57006 and 57024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57006 and 57024.

How to find the GCF of 57006 and 57024?

We will first find the prime factorization of 57006 and 57024. After we will calculate the factors of 57006 and 57024 and find the biggest common factor number .

Step-1: Prime Factorization of 57006

Prime factors of 57006 are 2, 3, 3167. Prime factorization of 57006 in exponential form is:

57006 = 2¹ × 3² × 3167¹

Step-2: Prime Factorization of 57024

Prime factors of 57024 are 2, 3, 11. Prime factorization of 57024 in exponential form is:

57024 = 2⁶ × 3⁴ × 11¹

Step-3: Factors of 57006

List of positive integer factors of 57006 that divides 57006 without a remainder.

1, 2, 3, 6, 9, 18, 3167, 6334, 9501, 19002, 28503

Step-4: Factors of 57024

List of positive integer factors of 57024 that divides 57006 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 192, 198, 216, 264, 288, 297, 324, 352, 396, 432, 528, 576, 594, 648, 704, 792, 864, 891, 1056, 1188, 1296, 1584, 1728, 1782, 2112, 2376, 2592, 3168, 3564, 4752, 5184, 6336, 7128, 9504, 14256, 19008, 28512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57006 and 57024. The biggest common factor number is the GCF number.
So the greatest common factor 57006 and 57024 is 18.

Also check out the Least Common Multiple of 57006 and 57024