What is the Greatest Common Factor of 71307 and 71325?

Greatest common factor (GCF) of 71307 and 71325 is 9.

GCF(71307,71325) = 9

We will now calculate the prime factors of 71307 and 71325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71307 and 71325.

How to find the GCF of 71307 and 71325?

We will first find the prime factorization of 71307 and 71325. After we will calculate the factors of 71307 and 71325 and find the biggest common factor number .

Step-1: Prime Factorization of 71307

Prime factors of 71307 are 3, 19, 139. Prime factorization of 71307 in exponential form is:

71307 = 3³ × 19¹ × 139¹

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 71307

List of positive integer factors of 71307 that divides 71307 without a remainder.

1, 3, 9, 19, 27, 57, 139, 171, 417, 513, 1251, 2641, 3753, 7923, 23769

Step-4: Factors of 71325

List of positive integer factors of 71325 that divides 71307 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 71307 and 71325. The biggest common factor number is the GCF number.
So the greatest common factor 71307 and 71325 is 9.

Also check out the Least Common Multiple of 71307 and 71325