What is the Greatest Common Factor of 60307 and 60325?

Greatest common factor (GCF) of 60307 and 60325 is 1.

GCF(60307,60325) = 1

We will now calculate the prime factors of 60307 and 60325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60307 and 60325.

How to find the GCF of 60307 and 60325?

We will first find the prime factorization of 60307 and 60325. After we will calculate the factors of 60307 and 60325 and find the biggest common factor number .

Step-1: Prime Factorization of 60307

Prime factors of 60307 are 13, 4639. Prime factorization of 60307 in exponential form is:

60307 = 13¹ × 4639¹

Step-2: Prime Factorization of 60325

Prime factors of 60325 are 5, 19, 127. Prime factorization of 60325 in exponential form is:

60325 = 5² × 19¹ × 127¹

Step-3: Factors of 60307

List of positive integer factors of 60307 that divides 60307 without a remainder.

1, 13, 4639

Step-4: Factors of 60325

List of positive integer factors of 60325 that divides 60307 without a remainder.

1, 5, 19, 25, 95, 127, 475, 635, 2413, 3175, 12065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60307 and 60325. The biggest common factor number is the GCF number.
So the greatest common factor 60307 and 60325 is 1.

Also check out the Least Common Multiple of 60307 and 60325