What is the Greatest Common Factor of 56190 and 56200?

Greatest common factor (GCF) of 56190 and 56200 is 10.

GCF(56190,56200) = 10

We will now calculate the prime factors of 56190 and 56200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56190 and 56200.

How to find the GCF of 56190 and 56200?

We will first find the prime factorization of 56190 and 56200. After we will calculate the factors of 56190 and 56200 and find the biggest common factor number .

Step-1: Prime Factorization of 56190

Prime factors of 56190 are 2, 3, 5, 1873. Prime factorization of 56190 in exponential form is:

56190 = 2¹ × 3¹ × 5¹ × 1873¹

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 56190

List of positive integer factors of 56190 that divides 56190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1873, 3746, 5619, 9365, 11238, 18730, 28095

Step-4: Factors of 56200

List of positive integer factors of 56200 that divides 56190 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 56190 and 56200. The biggest common factor number is the GCF number.
So the greatest common factor 56190 and 56200 is 10.

Also check out the Least Common Multiple of 56190 and 56200