What is the Greatest Common Factor of 57388 and 57408?

Greatest common factor (GCF) of 57388 and 57408 is 4.

GCF(57388,57408) = 4

We will now calculate the prime factors of 57388 and 57408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57388 and 57408.

How to find the GCF of 57388 and 57408?

We will first find the prime factorization of 57388 and 57408. After we will calculate the factors of 57388 and 57408 and find the biggest common factor number .

Step-1: Prime Factorization of 57388

Prime factors of 57388 are 2, 14347. Prime factorization of 57388 in exponential form is:

57388 = 2² × 14347¹

Step-2: Prime Factorization of 57408

Prime factors of 57408 are 2, 3, 13, 23. Prime factorization of 57408 in exponential form is:

57408 = 2⁶ × 3¹ × 13¹ × 23¹

Step-3: Factors of 57388

List of positive integer factors of 57388 that divides 57388 without a remainder.

1, 2, 4, 14347, 28694

Step-4: Factors of 57408

List of positive integer factors of 57408 that divides 57388 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 32, 39, 46, 48, 52, 64, 69, 78, 92, 96, 104, 138, 156, 184, 192, 208, 276, 299, 312, 368, 416, 552, 598, 624, 736, 832, 897, 1104, 1196, 1248, 1472, 1794, 2208, 2392, 2496, 3588, 4416, 4784, 7176, 9568, 14352, 19136, 28704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57388 and 57408. The biggest common factor number is the GCF number.
So the greatest common factor 57388 and 57408 is 4.

Also check out the Least Common Multiple of 57388 and 57408