What is the Greatest Common Factor of 57264 and 57280?

Greatest common factor (GCF) of 57264 and 57280 is 16.

GCF(57264,57280) = 16

We will now calculate the prime factors of 57264 and 57280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57264 and 57280.

How to find the GCF of 57264 and 57280?

We will first find the prime factorization of 57264 and 57280. After we will calculate the factors of 57264 and 57280 and find the biggest common factor number .

Step-1: Prime Factorization of 57264

Prime factors of 57264 are 2, 3, 1193. Prime factorization of 57264 in exponential form is:

57264 = 2⁴ × 3¹ × 1193¹

Step-2: Prime Factorization of 57280

Prime factors of 57280 are 2, 5, 179. Prime factorization of 57280 in exponential form is:

57280 = 2⁶ × 5¹ × 179¹

Step-3: Factors of 57264

List of positive integer factors of 57264 that divides 57264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1193, 2386, 3579, 4772, 7158, 9544, 14316, 19088, 28632

Step-4: Factors of 57280

List of positive integer factors of 57280 that divides 57264 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 179, 320, 358, 716, 895, 1432, 1790, 2864, 3580, 5728, 7160, 11456, 14320, 28640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57264 and 57280. The biggest common factor number is the GCF number.
So the greatest common factor 57264 and 57280 is 16.

Also check out the Least Common Multiple of 57264 and 57280