What is the Greatest Common Factor of 57275 and 57290?

Greatest common factor (GCF) of 57275 and 57290 is 5.

GCF(57275,57290) = 5

We will now calculate the prime factors of 57275 and 57290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57275 and 57290.

How to find the GCF of 57275 and 57290?

We will first find the prime factorization of 57275 and 57290. After we will calculate the factors of 57275 and 57290 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 57290

Prime factors of 57290 are 2, 5, 17, 337. Prime factorization of 57290 in exponential form is:

57290 = 2¹ × 5¹ × 17¹ × 337¹

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 57290

List of positive integer factors of 57290 that divides 57275 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 337, 674, 1685, 3370, 5729, 11458, 28645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57275 and 57290. The biggest common factor number is the GCF number.
So the greatest common factor 57275 and 57290 is 5.

Also check out the Least Common Multiple of 57275 and 57290