What is the Greatest Common Factor of 57305 and 57325?

Greatest common factor (GCF) of 57305 and 57325 is 5.

GCF(57305,57325) = 5

We will now calculate the prime factors of 57305 and 57325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57305 and 57325.

How to find the GCF of 57305 and 57325?

We will first find the prime factorization of 57305 and 57325. After we will calculate the factors of 57305 and 57325 and find the biggest common factor number .

Step-1: Prime Factorization of 57305

Prime factors of 57305 are 5, 73, 157. Prime factorization of 57305 in exponential form is:

57305 = 5¹ × 73¹ × 157¹

Step-2: Prime Factorization of 57325

Prime factors of 57325 are 5, 2293. Prime factorization of 57325 in exponential form is:

57325 = 5² × 2293¹

Step-3: Factors of 57305

List of positive integer factors of 57305 that divides 57305 without a remainder.

1, 5, 73, 157, 365, 785, 11461

Step-4: Factors of 57325

List of positive integer factors of 57325 that divides 57305 without a remainder.

1, 5, 25, 2293, 11465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57305 and 57325. The biggest common factor number is the GCF number.
So the greatest common factor 57305 and 57325 is 5.

Also check out the Least Common Multiple of 57305 and 57325