What is the Greatest Common Factor of 57345 and 57360?

Greatest common factor (GCF) of 57345 and 57360 is 15.

GCF(57345,57360) = 15

We will now calculate the prime factors of 57345 and 57360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57345 and 57360.

How to find the GCF of 57345 and 57360?

We will first find the prime factorization of 57345 and 57360. After we will calculate the factors of 57345 and 57360 and find the biggest common factor number .

Step-1: Prime Factorization of 57345

Prime factors of 57345 are 3, 5, 3823. Prime factorization of 57345 in exponential form is:

57345 = 3¹ × 5¹ × 3823¹

Step-2: 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-3: Factors of 57345

List of positive integer factors of 57345 that divides 57345 without a remainder.

1, 3, 5, 15, 3823, 11469, 19115

Step-4: Factors of 57360

List of positive integer factors of 57360 that divides 57345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57345 and 57360. The biggest common factor number is the GCF number.
So the greatest common factor 57345 and 57360 is 15.

Also check out the Least Common Multiple of 57345 and 57360