What is the Greatest Common Factor of 57440 and 57456?

Greatest common factor (GCF) of 57440 and 57456 is 16.

GCF(57440,57456) = 16

We will now calculate the prime factors of 57440 and 57456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57440 and 57456.

How to find the GCF of 57440 and 57456?

We will first find the prime factorization of 57440 and 57456. After we will calculate the factors of 57440 and 57456 and find the biggest common factor number .

Step-1: Prime Factorization of 57440

Prime factors of 57440 are 2, 5, 359. Prime factorization of 57440 in exponential form is:

57440 = 2⁵ × 5¹ × 359¹

Step-2: Prime Factorization of 57456

Prime factors of 57456 are 2, 3, 7, 19. Prime factorization of 57456 in exponential form is:

57456 = 2⁴ × 3³ × 7¹ × 19¹

Step-3: Factors of 57440

List of positive integer factors of 57440 that divides 57440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 359, 718, 1436, 1795, 2872, 3590, 5744, 7180, 11488, 14360, 28720

Step-4: Factors of 57456

List of positive integer factors of 57456 that divides 57440 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 27, 28, 36, 38, 42, 48, 54, 56, 57, 63, 72, 76, 84, 108, 112, 114, 126, 133, 144, 152, 168, 171, 189, 216, 228, 252, 266, 304, 336, 342, 378, 399, 432, 456, 504, 513, 532, 684, 756, 798, 912, 1008, 1026, 1064, 1197, 1368, 1512, 1596, 2052, 2128, 2394, 2736, 3024, 3192, 3591, 4104, 4788, 6384, 7182, 8208, 9576, 14364, 19152, 28728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57440 and 57456. The biggest common factor number is the GCF number.
So the greatest common factor 57440 and 57456 is 16.

Also check out the Least Common Multiple of 57440 and 57456