What is the Greatest Common Factor of 57125 and 57131?

Greatest common factor (GCF) of 57125 and 57131 is 1.

GCF(57125,57131) = 1

We will now calculate the prime factors of 57125 and 57131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57125 and 57131.

How to find the GCF of 57125 and 57131?

We will first find the prime factorization of 57125 and 57131. After we will calculate the factors of 57125 and 57131 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 57131

Prime factors of 57131 are 57131. Prime factorization of 57131 in exponential form is:

57131 = 57131¹

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 57131

List of positive integer factors of 57131 that divides 57125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57125 and 57131. The biggest common factor number is the GCF number.
So the greatest common factor 57125 and 57131 is 1.

Also check out the Least Common Multiple of 57125 and 57131