What is the Greatest Common Factor of 57024 and 57042?

Greatest common factor (GCF) of 57024 and 57042 is 18.

GCF(57024,57042) = 18

We will now calculate the prime factors of 57024 and 57042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57024 and 57042.

How to find the GCF of 57024 and 57042?

We will first find the prime factorization of 57024 and 57042. After we will calculate the factors of 57024 and 57042 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57042

Prime factors of 57042 are 2, 3, 3169. Prime factorization of 57042 in exponential form is:

57042 = 2¹ × 3² × 3169¹

Step-3: Factors of 57024

List of positive integer factors of 57024 that divides 57024 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

Step-4: Factors of 57042

List of positive integer factors of 57042 that divides 57024 without a remainder.

1, 2, 3, 6, 9, 18, 3169, 6338, 9507, 19014, 28521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57024 and 57042. The biggest common factor number is the GCF number.
So the greatest common factor 57024 and 57042 is 18.

Also check out the Least Common Multiple of 57024 and 57042