What is the Greatest Common Factor of 57085 and 57099?

Greatest common factor (GCF) of 57085 and 57099 is 7.

GCF(57085,57099) = 7

We will now calculate the prime factors of 57085 and 57099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57085 and 57099.

How to find the GCF of 57085 and 57099?

We will first find the prime factorization of 57085 and 57099. After we will calculate the factors of 57085 and 57099 and find the biggest common factor number .

Step-1: Prime Factorization of 57085

Prime factors of 57085 are 5, 7, 233. Prime factorization of 57085 in exponential form is:

57085 = 5¹ × 7² × 233¹

Step-2: Prime Factorization of 57099

Prime factors of 57099 are 3, 7, 2719. Prime factorization of 57099 in exponential form is:

57099 = 3¹ × 7¹ × 2719¹

Step-3: Factors of 57085

List of positive integer factors of 57085 that divides 57085 without a remainder.

1, 5, 7, 35, 49, 233, 245, 1165, 1631, 8155, 11417

Step-4: Factors of 57099

List of positive integer factors of 57099 that divides 57085 without a remainder.

1, 3, 7, 21, 2719, 8157, 19033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57085 and 57099. The biggest common factor number is the GCF number.
So the greatest common factor 57085 and 57099 is 7.

Also check out the Least Common Multiple of 57085 and 57099