What is the Greatest Common Factor of 57074 and 57085?

Greatest common factor (GCF) of 57074 and 57085 is 1.

GCF(57074,57085) = 1

We will now calculate the prime factors of 57074 and 57085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57074 and 57085.

How to find the GCF of 57074 and 57085?

We will first find the prime factorization of 57074 and 57085. After we will calculate the factors of 57074 and 57085 and find the biggest common factor number .

Step-1: Prime Factorization of 57074

Prime factors of 57074 are 2, 28537. Prime factorization of 57074 in exponential form is:

57074 = 2¹ × 28537¹

Step-2: 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-3: Factors of 57074

List of positive integer factors of 57074 that divides 57074 without a remainder.

1, 2, 28537

Step-4: Factors of 57085

List of positive integer factors of 57085 that divides 57074 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57074 and 57085. The biggest common factor number is the GCF number.
So the greatest common factor 57074 and 57085 is 1.

Also check out the Least Common Multiple of 57074 and 57085