What is the Greatest Common Factor of 71580 and 71595?

Greatest common factor (GCF) of 71580 and 71595 is 15.

GCF(71580,71595) = 15

We will now calculate the prime factors of 71580 and 71595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71580 and 71595.

How to find the GCF of 71580 and 71595?

We will first find the prime factorization of 71580 and 71595. After we will calculate the factors of 71580 and 71595 and find the biggest common factor number .

Step-1: Prime Factorization of 71580

Prime factors of 71580 are 2, 3, 5, 1193. Prime factorization of 71580 in exponential form is:

71580 = 2² × 3¹ × 5¹ × 1193¹

Step-2: 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-3: Factors of 71580

List of positive integer factors of 71580 that divides 71580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1193, 2386, 3579, 4772, 5965, 7158, 11930, 14316, 17895, 23860, 35790

Step-4: Factors of 71595

List of positive integer factors of 71595 that divides 71580 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71580 and 71595. The biggest common factor number is the GCF number.
So the greatest common factor 71580 and 71595 is 15.

Also check out the Least Common Multiple of 71580 and 71595