What is the Greatest Common Factor of 57375 and 57393?

Greatest common factor (GCF) of 57375 and 57393 is 9.

GCF(57375,57393) = 9

We will now calculate the prime factors of 57375 and 57393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57375 and 57393.

How to find the GCF of 57375 and 57393?

We will first find the prime factorization of 57375 and 57393. After we will calculate the factors of 57375 and 57393 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 57393

Prime factors of 57393 are 3, 7, 911. Prime factorization of 57393 in exponential form is:

57393 = 3² × 7¹ × 911¹

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 57393

List of positive integer factors of 57393 that divides 57375 without a remainder.

1, 3, 7, 9, 21, 63, 911, 2733, 6377, 8199, 19131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57375 and 57393. The biggest common factor number is the GCF number.
So the greatest common factor 57375 and 57393 is 9.

Also check out the Least Common Multiple of 57375 and 57393