What is the Greatest Common Factor of 57275 and 57289?

Greatest common factor (GCF) of 57275 and 57289 is 1.

GCF(57275,57289) = 1

We will now calculate the prime factors of 57275 and 57289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57275 and 57289.

How to find the GCF of 57275 and 57289?

We will first find the prime factorization of 57275 and 57289. After we will calculate the factors of 57275 and 57289 and find the biggest common factor number .

Step-1: Prime Factorization of 57275

Prime factors of 57275 are 5, 29, 79. Prime factorization of 57275 in exponential form is:

57275 = 5² × 29¹ × 79¹

Step-2: Prime Factorization of 57289

Prime factors of 57289 are 59, 971. Prime factorization of 57289 in exponential form is:

57289 = 59¹ × 971¹

Step-3: Factors of 57275

List of positive integer factors of 57275 that divides 57275 without a remainder.

1, 5, 25, 29, 79, 145, 395, 725, 1975, 2291, 11455

Step-4: Factors of 57289

List of positive integer factors of 57289 that divides 57275 without a remainder.

1, 59, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57275 and 57289. The biggest common factor number is the GCF number.
So the greatest common factor 57275 and 57289 is 1.

Also check out the Least Common Multiple of 57275 and 57289