What is the Greatest Common Factor of 71595 and 71615?

Greatest common factor (GCF) of 71595 and 71615 is 5.

GCF(71595,71615) = 5

We will now calculate the prime factors of 71595 and 71615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71595 and 71615.

How to find the GCF of 71595 and 71615?

We will first find the prime factorization of 71595 and 71615. After we will calculate the factors of 71595 and 71615 and find the biggest common factor number .

Step-1: Prime Factorization of 71595

Prime factors of 71595 are 3, 5, 37, 43. Prime factorization of 71595 in exponential form is:

71595 = 3² × 5¹ × 37¹ × 43¹

Step-2: Prime Factorization of 71615

Prime factors of 71615 are 5, 14323. Prime factorization of 71615 in exponential form is:

71615 = 5¹ × 14323¹

Step-3: Factors of 71595

List of positive integer factors of 71595 that divides 71595 without a remainder.

1, 3, 5, 9, 15, 37, 43, 45, 111, 129, 185, 215, 333, 387, 555, 645, 1591, 1665, 1935, 4773, 7955, 14319, 23865

Step-4: Factors of 71615

List of positive integer factors of 71615 that divides 71595 without a remainder.

1, 5, 14323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71595 and 71615. The biggest common factor number is the GCF number.
So the greatest common factor 71595 and 71615 is 5.

Also check out the Least Common Multiple of 71595 and 71615