What is the Greatest Common Factor of 57360 and 57375?

Greatest common factor (GCF) of 57360 and 57375 is 15.

GCF(57360,57375) = 15

We will now calculate the prime factors of 57360 and 57375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57360 and 57375.

How to find the GCF of 57360 and 57375?

We will first find the prime factorization of 57360 and 57375. After we will calculate the factors of 57360 and 57375 and find the biggest common factor number .

Step-1: Prime Factorization of 57360

Prime factors of 57360 are 2, 3, 5, 239. Prime factorization of 57360 in exponential form is:

57360 = 2⁴ × 3¹ × 5¹ × 239¹

Step-2: 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-3: Factors of 57360

List of positive integer factors of 57360 that divides 57360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 239, 240, 478, 717, 956, 1195, 1434, 1912, 2390, 2868, 3585, 3824, 4780, 5736, 7170, 9560, 11472, 14340, 19120, 28680

Step-4: Factors of 57375

List of positive integer factors of 57375 that divides 57360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57360 and 57375. The biggest common factor number is the GCF number.
So the greatest common factor 57360 and 57375 is 15.

Also check out the Least Common Multiple of 57360 and 57375