What is the Greatest Common Factor of 56355 and 56372?

Greatest common factor (GCF) of 56355 and 56372 is 17.

GCF(56355,56372) = 17

We will now calculate the prime factors of 56355 and 56372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56355 and 56372.

How to find the GCF of 56355 and 56372?

We will first find the prime factorization of 56355 and 56372. After we will calculate the factors of 56355 and 56372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56372

Prime factors of 56372 are 2, 17, 829. Prime factorization of 56372 in exponential form is:

56372 = 2² × 17¹ × 829¹

Step-3: Factors of 56355

List of positive integer factors of 56355 that divides 56355 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

Step-4: Factors of 56372

List of positive integer factors of 56372 that divides 56355 without a remainder.

1, 2, 4, 17, 34, 68, 829, 1658, 3316, 14093, 28186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56355 and 56372. The biggest common factor number is the GCF number.
So the greatest common factor 56355 and 56372 is 17.

Also check out the Least Common Multiple of 56355 and 56372