What is the Greatest Common Factor of 56185 and 56205?

Greatest common factor (GCF) of 56185 and 56205 is 5.

GCF(56185,56205) = 5

We will now calculate the prime factors of 56185 and 56205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56185 and 56205.

How to find the GCF of 56185 and 56205?

We will first find the prime factorization of 56185 and 56205. After we will calculate the factors of 56185 and 56205 and find the biggest common factor number .

Step-1: Prime Factorization of 56185

Prime factors of 56185 are 5, 17, 661. Prime factorization of 56185 in exponential form is:

56185 = 5¹ × 17¹ × 661¹

Step-2: Prime Factorization of 56205

Prime factors of 56205 are 3, 5, 1249. Prime factorization of 56205 in exponential form is:

56205 = 3² × 5¹ × 1249¹

Step-3: Factors of 56185

List of positive integer factors of 56185 that divides 56185 without a remainder.

1, 5, 17, 85, 661, 3305, 11237

Step-4: Factors of 56205

List of positive integer factors of 56205 that divides 56185 without a remainder.

1, 3, 5, 9, 15, 45, 1249, 3747, 6245, 11241, 18735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56185 and 56205. The biggest common factor number is the GCF number.
So the greatest common factor 56185 and 56205 is 5.

Also check out the Least Common Multiple of 56185 and 56205