What is the Greatest Common Factor of 71325 and 71339?

Greatest common factor (GCF) of 71325 and 71339 is 1.

GCF(71325,71339) = 1

We will now calculate the prime factors of 71325 and 71339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71325 and 71339.

How to find the GCF of 71325 and 71339?

We will first find the prime factorization of 71325 and 71339. After we will calculate the factors of 71325 and 71339 and find the biggest common factor number .

Step-1: Prime Factorization of 71325

Prime factors of 71325 are 3, 5, 317. Prime factorization of 71325 in exponential form is:

71325 = 3² × 5² × 317¹

Step-2: Prime Factorization of 71339

Prime factors of 71339 are 71339. Prime factorization of 71339 in exponential form is:

71339 = 71339¹

Step-3: Factors of 71325

List of positive integer factors of 71325 that divides 71325 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 317, 951, 1585, 2853, 4755, 7925, 14265, 23775

Step-4: Factors of 71339

List of positive integer factors of 71339 that divides 71325 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71325 and 71339. The biggest common factor number is the GCF number.
So the greatest common factor 71325 and 71339 is 1.

Also check out the Least Common Multiple of 71325 and 71339