What is the Greatest Common Factor of 57024 and 57032?

Greatest common factor (GCF) of 57024 and 57032 is 8.

GCF(57024,57032) = 8

We will now calculate the prime factors of 57024 and 57032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57024 and 57032.

How to find the GCF of 57024 and 57032?

We will first find the prime factorization of 57024 and 57032. After we will calculate the factors of 57024 and 57032 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 57032

Prime factors of 57032 are 2, 7129. Prime factorization of 57032 in exponential form is:

57032 = 2³ × 7129¹

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 57032

List of positive integer factors of 57032 that divides 57024 without a remainder.

1, 2, 4, 8, 7129, 14258, 28516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57024 and 57032. The biggest common factor number is the GCF number.
So the greatest common factor 57024 and 57032 is 8.

Also check out the Least Common Multiple of 57024 and 57032