What is the Greatest Common Factor of 56205 and 56220?

Greatest common factor (GCF) of 56205 and 56220 is 15.

GCF(56205,56220) = 15

We will now calculate the prime factors of 56205 and 56220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56205 and 56220.

How to find the GCF of 56205 and 56220?

We will first find the prime factorization of 56205 and 56220. After we will calculate the factors of 56205 and 56220 and find the biggest common factor number .

Step-1: Prime Factorization of 56205

Prime factors of 56205 are 3, 5, 1249. Prime factorization of 56205 in exponential form is:

56205 = 3² × 5¹ × 1249¹

Step-2: Prime Factorization of 56220

Prime factors of 56220 are 2, 3, 5, 937. Prime factorization of 56220 in exponential form is:

56220 = 2² × 3¹ × 5¹ × 937¹

Step-3: Factors of 56205

List of positive integer factors of 56205 that divides 56205 without a remainder.

1, 3, 5, 9, 15, 45, 1249, 3747, 6245, 11241, 18735

Step-4: Factors of 56220

List of positive integer factors of 56220 that divides 56205 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 937, 1874, 2811, 3748, 4685, 5622, 9370, 11244, 14055, 18740, 28110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56205 and 56220. The biggest common factor number is the GCF number.
So the greatest common factor 56205 and 56220 is 15.

Also check out the Least Common Multiple of 56205 and 56220