What is the Greatest Common Factor of 57375 and 57392?

Greatest common factor (GCF) of 57375 and 57392 is 17.

GCF(57375,57392) = 17

We will now calculate the prime factors of 57375 and 57392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57375 and 57392.

How to find the GCF of 57375 and 57392?

We will first find the prime factorization of 57375 and 57392. After we will calculate the factors of 57375 and 57392 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 57392

Prime factors of 57392 are 2, 17, 211. Prime factorization of 57392 in exponential form is:

57392 = 2⁴ × 17¹ × 211¹

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 57392

List of positive integer factors of 57392 that divides 57375 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 211, 272, 422, 844, 1688, 3376, 3587, 7174, 14348, 28696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57375 and 57392. The biggest common factor number is the GCF number.
So the greatest common factor 57375 and 57392 is 17.

Also check out the Least Common Multiple of 57375 and 57392