What is the Greatest Common Factor of 56200 and 56216?

Greatest common factor (GCF) of 56200 and 56216 is 8.

GCF(56200,56216) = 8

We will now calculate the prime factors of 56200 and 56216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56200 and 56216.

How to find the GCF of 56200 and 56216?

We will first find the prime factorization of 56200 and 56216. After we will calculate the factors of 56200 and 56216 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 56216

Prime factors of 56216 are 2, 7027. Prime factorization of 56216 in exponential form is:

56216 = 2³ × 7027¹

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 56216

List of positive integer factors of 56216 that divides 56200 without a remainder.

1, 2, 4, 8, 7027, 14054, 28108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56200 and 56216. The biggest common factor number is the GCF number.
So the greatest common factor 56200 and 56216 is 8.

Also check out the Least Common Multiple of 56200 and 56216