What is the Greatest Common Factor of 57548 and 57564?

Greatest common factor (GCF) of 57548 and 57564 is 4.

GCF(57548,57564) = 4

We will now calculate the prime factors of 57548 and 57564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57548 and 57564.

How to find the GCF of 57548 and 57564?

We will first find the prime factorization of 57548 and 57564. After we will calculate the factors of 57548 and 57564 and find the biggest common factor number .

Step-1: Prime Factorization of 57548

Prime factors of 57548 are 2, 14387. Prime factorization of 57548 in exponential form is:

57548 = 2² × 14387¹

Step-2: Prime Factorization of 57564

Prime factors of 57564 are 2, 3, 13, 41. Prime factorization of 57564 in exponential form is:

57564 = 2² × 3³ × 13¹ × 41¹

Step-3: Factors of 57548

List of positive integer factors of 57548 that divides 57548 without a remainder.

1, 2, 4, 14387, 28774

Step-4: Factors of 57564

List of positive integer factors of 57564 that divides 57548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 41, 52, 54, 78, 82, 108, 117, 123, 156, 164, 234, 246, 351, 369, 468, 492, 533, 702, 738, 1066, 1107, 1404, 1476, 1599, 2132, 2214, 3198, 4428, 4797, 6396, 9594, 14391, 19188, 28782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57548 and 57564. The biggest common factor number is the GCF number.
So the greatest common factor 57548 and 57564 is 4.

Also check out the Least Common Multiple of 57548 and 57564