What is the Greatest Common Factor of 57125 and 57137?

Greatest common factor (GCF) of 57125 and 57137 is 1.

GCF(57125,57137) = 1

We will now calculate the prime factors of 57125 and 57137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57125 and 57137.

How to find the GCF of 57125 and 57137?

We will first find the prime factorization of 57125 and 57137. After we will calculate the factors of 57125 and 57137 and find the biggest common factor number .

Step-1: Prime Factorization of 57125

Prime factors of 57125 are 5, 457. Prime factorization of 57125 in exponential form is:

57125 = 5³ × 457¹

Step-2: Prime Factorization of 57137

Prime factors of 57137 are 17, 3361. Prime factorization of 57137 in exponential form is:

57137 = 17¹ × 3361¹

Step-3: Factors of 57125

List of positive integer factors of 57125 that divides 57125 without a remainder.

1, 5, 25, 125, 457, 2285, 11425

Step-4: Factors of 57137

List of positive integer factors of 57137 that divides 57125 without a remainder.

1, 17, 3361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57125 and 57137. The biggest common factor number is the GCF number.
So the greatest common factor 57125 and 57137 is 1.

Also check out the Least Common Multiple of 57125 and 57137