What is the Greatest Common Factor of 56340 and 56355?

Greatest common factor (GCF) of 56340 and 56355 is 15.

GCF(56340,56355) = 15

We will now calculate the prime factors of 56340 and 56355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56340 and 56355.

How to find the GCF of 56340 and 56355?

We will first find the prime factorization of 56340 and 56355. After we will calculate the factors of 56340 and 56355 and find the biggest common factor number .

Step-1: Prime Factorization of 56340

Prime factors of 56340 are 2, 3, 5, 313. Prime factorization of 56340 in exponential form is:

56340 = 2² × 3² × 5¹ × 313¹

Step-2: Prime Factorization of 56355

Prime factors of 56355 are 3, 5, 13, 17. Prime factorization of 56355 in exponential form is:

56355 = 3¹ × 5¹ × 13¹ × 17²

Step-3: Factors of 56340

List of positive integer factors of 56340 that divides 56340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 313, 626, 939, 1252, 1565, 1878, 2817, 3130, 3756, 4695, 5634, 6260, 9390, 11268, 14085, 18780, 28170

Step-4: Factors of 56355

List of positive integer factors of 56355 that divides 56340 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 289, 663, 867, 1105, 1445, 3315, 3757, 4335, 11271, 18785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56340 and 56355. The biggest common factor number is the GCF number.
So the greatest common factor 56340 and 56355 is 15.

Also check out the Least Common Multiple of 56340 and 56355