What is the Greatest Common Factor of 56180 and 56190?

Greatest common factor (GCF) of 56180 and 56190 is 10.

GCF(56180,56190) = 10

We will now calculate the prime factors of 56180 and 56190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56180 and 56190.

How to find the GCF of 56180 and 56190?

We will first find the prime factorization of 56180 and 56190. After we will calculate the factors of 56180 and 56190 and find the biggest common factor number .

Step-1: Prime Factorization of 56180

Prime factors of 56180 are 2, 5, 53. Prime factorization of 56180 in exponential form is:

56180 = 2² × 5¹ × 53²

Step-2: 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-3: Factors of 56180

List of positive integer factors of 56180 that divides 56180 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060, 2809, 5618, 11236, 14045, 28090

Step-4: Factors of 56190

List of positive integer factors of 56190 that divides 56180 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56180 and 56190. The biggest common factor number is the GCF number.
So the greatest common factor 56180 and 56190 is 10.

Also check out the Least Common Multiple of 56180 and 56190