What is the Greatest Common Factor of 57375 and 57390?

Greatest common factor (GCF) of 57375 and 57390 is 15.

GCF(57375,57390) = 15

We will now calculate the prime factors of 57375 and 57390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57375 and 57390.

How to find the GCF of 57375 and 57390?

We will first find the prime factorization of 57375 and 57390. After we will calculate the factors of 57375 and 57390 and find the biggest common factor number .

Step-1: Prime Factorization of 57375

Prime factors of 57375 are 3, 5, 17. Prime factorization of 57375 in exponential form is:

57375 = 3³ × 5³ × 17¹

Step-2: Prime Factorization of 57390

Prime factors of 57390 are 2, 3, 5, 1913. Prime factorization of 57390 in exponential form is:

57390 = 2¹ × 3¹ × 5¹ × 1913¹

Step-3: Factors of 57375

List of positive integer factors of 57375 that divides 57375 without a remainder.

1, 3, 5, 9, 15, 17, 25, 27, 45, 51, 75, 85, 125, 135, 153, 225, 255, 375, 425, 459, 675, 765, 1125, 1275, 2125, 2295, 3375, 3825, 6375, 11475, 19125

Step-4: Factors of 57390

List of positive integer factors of 57390 that divides 57375 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1913, 3826, 5739, 9565, 11478, 19130, 28695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57375 and 57390. The biggest common factor number is the GCF number.
So the greatest common factor 57375 and 57390 is 15.

Also check out the Least Common Multiple of 57375 and 57390