What is the Greatest Common Factor of 56355 and 56374?

Greatest common factor (GCF) of 56355 and 56374 is 1.

GCF(56355,56374) = 1

We will now calculate the prime factors of 56355 and 56374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56355 and 56374.

How to find the GCF of 56355 and 56374?

We will first find the prime factorization of 56355 and 56374. After we will calculate the factors of 56355 and 56374 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 56374

Prime factors of 56374 are 2, 71, 397. Prime factorization of 56374 in exponential form is:

56374 = 2¹ × 71¹ × 397¹

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 56374

List of positive integer factors of 56374 that divides 56355 without a remainder.

1, 2, 71, 142, 397, 794, 28187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56355 and 56374. The biggest common factor number is the GCF number.
So the greatest common factor 56355 and 56374 is 1.

Also check out the Least Common Multiple of 56355 and 56374