What is the Greatest Common Factor of 71310 and 71325?

Greatest common factor (GCF) of 71310 and 71325 is 15.

GCF(71310,71325) = 15

We will now calculate the prime factors of 71310 and 71325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71310 and 71325.

How to find the GCF of 71310 and 71325?

We will first find the prime factorization of 71310 and 71325. After we will calculate the factors of 71310 and 71325 and find the biggest common factor number .

Step-1: Prime Factorization of 71310

Prime factors of 71310 are 2, 3, 5, 2377. Prime factorization of 71310 in exponential form is:

71310 = 2¹ × 3¹ × 5¹ × 2377¹

Step-2: 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-3: Factors of 71310

List of positive integer factors of 71310 that divides 71310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2377, 4754, 7131, 11885, 14262, 23770, 35655

Step-4: Factors of 71325

List of positive integer factors of 71325 that divides 71310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71310 and 71325. The biggest common factor number is the GCF number.
So the greatest common factor 71310 and 71325 is 15.

Also check out the Least Common Multiple of 71310 and 71325