What is the Greatest Common Factor of 57564 and 57570?

Greatest common factor (GCF) of 57564 and 57570 is 6.

GCF(57564,57570) = 6

We will now calculate the prime factors of 57564 and 57570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57564 and 57570.

How to find the GCF of 57564 and 57570?

We will first find the prime factorization of 57564 and 57570. After we will calculate the factors of 57564 and 57570 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57570

Prime factors of 57570 are 2, 3, 5, 19, 101. Prime factorization of 57570 in exponential form is:

57570 = 2¹ × 3¹ × 5¹ × 19¹ × 101¹

Step-3: Factors of 57564

List of positive integer factors of 57564 that divides 57564 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

Step-4: Factors of 57570

List of positive integer factors of 57570 that divides 57564 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 101, 114, 190, 202, 285, 303, 505, 570, 606, 1010, 1515, 1919, 3030, 3838, 5757, 9595, 11514, 19190, 28785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57564 and 57570. The biggest common factor number is the GCF number.
So the greatest common factor 57564 and 57570 is 6.

Also check out the Least Common Multiple of 57564 and 57570