What is the Greatest Common Factor of 71325 and 71340?

Greatest common factor (GCF) of 71325 and 71340 is 15.

GCF(71325,71340) = 15

We will now calculate the prime factors of 71325 and 71340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71325 and 71340.

How to find the GCF of 71325 and 71340?

We will first find the prime factorization of 71325 and 71340. After we will calculate the factors of 71325 and 71340 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 71340

Prime factors of 71340 are 2, 3, 5, 29, 41. Prime factorization of 71340 in exponential form is:

71340 = 2² × 3¹ × 5¹ × 29¹ × 41¹

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 71340

List of positive integer factors of 71340 that divides 71325 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 41, 58, 60, 82, 87, 116, 123, 145, 164, 174, 205, 246, 290, 348, 410, 435, 492, 580, 615, 820, 870, 1189, 1230, 1740, 2378, 2460, 3567, 4756, 5945, 7134, 11890, 14268, 17835, 23780, 35670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71325 and 71340. The biggest common factor number is the GCF number.
So the greatest common factor 71325 and 71340 is 15.

Also check out the Least Common Multiple of 71325 and 71340