What is the Greatest Common Factor of 57280 and 57288?

Greatest common factor (GCF) of 57280 and 57288 is 8.

GCF(57280,57288) = 8

We will now calculate the prime factors of 57280 and 57288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57280 and 57288.

How to find the GCF of 57280 and 57288?

We will first find the prime factorization of 57280 and 57288. After we will calculate the factors of 57280 and 57288 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57288

Prime factors of 57288 are 2, 3, 7, 11, 31. Prime factorization of 57288 in exponential form is:

57288 = 2³ × 3¹ × 7¹ × 11¹ × 31¹

Step-3: Factors of 57280

List of positive integer factors of 57280 that divides 57280 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

Step-4: Factors of 57288

List of positive integer factors of 57288 that divides 57280 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 31, 33, 42, 44, 56, 62, 66, 77, 84, 88, 93, 124, 132, 154, 168, 186, 217, 231, 248, 264, 308, 341, 372, 434, 462, 616, 651, 682, 744, 868, 924, 1023, 1302, 1364, 1736, 1848, 2046, 2387, 2604, 2728, 4092, 4774, 5208, 7161, 8184, 9548, 14322, 19096, 28644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57280 and 57288. The biggest common factor number is the GCF number.
So the greatest common factor 57280 and 57288 is 8.

Also check out the Least Common Multiple of 57280 and 57288