What is the Greatest Common Factor of 57570 and 57585?

Greatest common factor (GCF) of 57570 and 57585 is 15.

GCF(57570,57585) = 15

We will now calculate the prime factors of 57570 and 57585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57570 and 57585.

How to find the GCF of 57570 and 57585?

We will first find the prime factorization of 57570 and 57585. After we will calculate the factors of 57570 and 57585 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57585

Prime factors of 57585 are 3, 5, 11, 349. Prime factorization of 57585 in exponential form is:

57585 = 3¹ × 5¹ × 11¹ × 349¹

Step-3: Factors of 57570

List of positive integer factors of 57570 that divides 57570 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

Step-4: Factors of 57585

List of positive integer factors of 57585 that divides 57570 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 349, 1047, 1745, 3839, 5235, 11517, 19195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57570 and 57585. The biggest common factor number is the GCF number.
So the greatest common factor 57570 and 57585 is 15.

Also check out the Least Common Multiple of 57570 and 57585