What is the Greatest Common Factor of 57188 and 57205?

Greatest common factor (GCF) of 57188 and 57205 is 17.

GCF(57188,57205) = 17

We will now calculate the prime factors of 57188 and 57205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57188 and 57205.

How to find the GCF of 57188 and 57205?

We will first find the prime factorization of 57188 and 57205. After we will calculate the factors of 57188 and 57205 and find the biggest common factor number .

Step-1: Prime Factorization of 57188

Prime factors of 57188 are 2, 17, 29. Prime factorization of 57188 in exponential form is:

57188 = 2² × 17¹ × 29²

Step-2: Prime Factorization of 57205

Prime factors of 57205 are 5, 17, 673. Prime factorization of 57205 in exponential form is:

57205 = 5¹ × 17¹ × 673¹

Step-3: Factors of 57188

List of positive integer factors of 57188 that divides 57188 without a remainder.

1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 841, 986, 1682, 1972, 3364, 14297, 28594

Step-4: Factors of 57205

List of positive integer factors of 57205 that divides 57188 without a remainder.

1, 5, 17, 85, 673, 3365, 11441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57188 and 57205. The biggest common factor number is the GCF number.
So the greatest common factor 57188 and 57205 is 17.

Also check out the Least Common Multiple of 57188 and 57205