What is the Greatest Common Factor of 57456 and 57474?

Greatest common factor (GCF) of 57456 and 57474 is 18.

GCF(57456,57474) = 18

We will now calculate the prime factors of 57456 and 57474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57456 and 57474.

How to find the GCF of 57456 and 57474?

We will first find the prime factorization of 57456 and 57474. After we will calculate the factors of 57456 and 57474 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57474

Prime factors of 57474 are 2, 3, 31, 103. Prime factorization of 57474 in exponential form is:

57474 = 2¹ × 3² × 31¹ × 103¹

Step-3: Factors of 57456

List of positive integer factors of 57456 that divides 57456 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

Step-4: Factors of 57474

List of positive integer factors of 57474 that divides 57456 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 103, 186, 206, 279, 309, 558, 618, 927, 1854, 3193, 6386, 9579, 19158, 28737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57456 and 57474. The biggest common factor number is the GCF number.
So the greatest common factor 57456 and 57474 is 18.

Also check out the Least Common Multiple of 57456 and 57474