What is the Greatest Common Factor of 57340 and 57360?

Greatest common factor (GCF) of 57340 and 57360 is 20.

GCF(57340,57360) = 20

We will now calculate the prime factors of 57340 and 57360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57340 and 57360.

How to find the GCF of 57340 and 57360?

We will first find the prime factorization of 57340 and 57360. After we will calculate the factors of 57340 and 57360 and find the biggest common factor number .

Step-1: Prime Factorization of 57340

Prime factors of 57340 are 2, 5, 47, 61. Prime factorization of 57340 in exponential form is:

57340 = 2² × 5¹ × 47¹ × 61¹

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 57340

List of positive integer factors of 57340 that divides 57340 without a remainder.

1, 2, 4, 5, 10, 20, 47, 61, 94, 122, 188, 235, 244, 305, 470, 610, 940, 1220, 2867, 5734, 11468, 14335, 28670

Step-4: Factors of 57360

List of positive integer factors of 57360 that divides 57340 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 57340 and 57360. The biggest common factor number is the GCF number.
So the greatest common factor 57340 and 57360 is 20.

Also check out the Least Common Multiple of 57340 and 57360