What is the Greatest Common Factor of 56200 and 56220?

Greatest common factor (GCF) of 56200 and 56220 is 20.

GCF(56200,56220) = 20

We will now calculate the prime factors of 56200 and 56220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56200 and 56220.

How to find the GCF of 56200 and 56220?

We will first find the prime factorization of 56200 and 56220. After we will calculate the factors of 56200 and 56220 and find the biggest common factor number .

Step-1: Prime Factorization of 56200

Prime factors of 56200 are 2, 5, 281. Prime factorization of 56200 in exponential form is:

56200 = 2³ × 5² × 281¹

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 56200

List of positive integer factors of 56200 that divides 56200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 281, 562, 1124, 1405, 2248, 2810, 5620, 7025, 11240, 14050, 28100

Step-4: Factors of 56220

List of positive integer factors of 56220 that divides 56200 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 56200 and 56220. The biggest common factor number is the GCF number.
So the greatest common factor 56200 and 56220 is 20.

Also check out the Least Common Multiple of 56200 and 56220