What is the Greatest Common Factor of 57012 and 57024?

Greatest common factor (GCF) of 57012 and 57024 is 12.

GCF(57012,57024) = 12

We will now calculate the prime factors of 57012 and 57024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57012 and 57024.

How to find the GCF of 57012 and 57024?

We will first find the prime factorization of 57012 and 57024. After we will calculate the factors of 57012 and 57024 and find the biggest common factor number .

Step-1: Prime Factorization of 57012

Prime factors of 57012 are 2, 3, 4751. Prime factorization of 57012 in exponential form is:

57012 = 2² × 3¹ × 4751¹

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 57012

List of positive integer factors of 57012 that divides 57012 without a remainder.

1, 2, 3, 4, 6, 12, 4751, 9502, 14253, 19004, 28506

Step-4: Factors of 57024

List of positive integer factors of 57024 that divides 57012 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 57012 and 57024. The biggest common factor number is the GCF number.
So the greatest common factor 57012 and 57024 is 12.

Also check out the Least Common Multiple of 57012 and 57024