What is the Greatest Common Factor of 57554 and 57564?

Greatest common factor (GCF) of 57554 and 57564 is 2.

GCF(57554,57564) = 2

We will now calculate the prime factors of 57554 and 57564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57554 and 57564.

How to find the GCF of 57554 and 57564?

We will first find the prime factorization of 57554 and 57564. After we will calculate the factors of 57554 and 57564 and find the biggest common factor number .

Step-1: Prime Factorization of 57554

Prime factors of 57554 are 2, 7, 4111. Prime factorization of 57554 in exponential form is:

57554 = 2¹ × 7¹ × 4111¹

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 57554

List of positive integer factors of 57554 that divides 57554 without a remainder.

1, 2, 7, 14, 4111, 8222, 28777

Step-4: Factors of 57564

List of positive integer factors of 57564 that divides 57554 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 57554 and 57564. The biggest common factor number is the GCF number.
So the greatest common factor 57554 and 57564 is 2.

Also check out the Least Common Multiple of 57554 and 57564