What is the Greatest Common Factor of 56195 and 56200?

Greatest common factor (GCF) of 56195 and 56200 is 5.

GCF(56195,56200) = 5

We will now calculate the prime factors of 56195 and 56200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56195 and 56200.

How to find the GCF of 56195 and 56200?

We will first find the prime factorization of 56195 and 56200. After we will calculate the factors of 56195 and 56200 and find the biggest common factor number .

Step-1: Prime Factorization of 56195

Prime factors of 56195 are 5, 11239. Prime factorization of 56195 in exponential form is:

56195 = 5¹ × 11239¹

Step-2: 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-3: Factors of 56195

List of positive integer factors of 56195 that divides 56195 without a remainder.

1, 5, 11239

Step-4: Factors of 56200

List of positive integer factors of 56200 that divides 56195 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56195 and 56200. The biggest common factor number is the GCF number.
So the greatest common factor 56195 and 56200 is 5.

Also check out the Least Common Multiple of 56195 and 56200