What is the Greatest Common Factor of 56200 and 56206?

Greatest common factor (GCF) of 56200 and 56206 is 2.

GCF(56200,56206) = 2

We will now calculate the prime factors of 56200 and 56206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56200 and 56206.

How to find the GCF of 56200 and 56206?

We will first find the prime factorization of 56200 and 56206. After we will calculate the factors of 56200 and 56206 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 56206

Prime factors of 56206 are 2, 157, 179. Prime factorization of 56206 in exponential form is:

56206 = 2¹ × 157¹ × 179¹

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 56206

List of positive integer factors of 56206 that divides 56200 without a remainder.

1, 2, 157, 179, 314, 358, 28103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56200 and 56206. The biggest common factor number is the GCF number.
So the greatest common factor 56200 and 56206 is 2.

Also check out the Least Common Multiple of 56200 and 56206