What is the Greatest Common Factor of 83325 and 83340?

Greatest common factor (GCF) of 83325 and 83340 is 15.

GCF(83325,83340) = 15

We will now calculate the prime factors of 83325 and 83340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83325 and 83340.

How to find the GCF of 83325 and 83340?

We will first find the prime factorization of 83325 and 83340. After we will calculate the factors of 83325 and 83340 and find the biggest common factor number .

Step-1: Prime Factorization of 83325

Prime factors of 83325 are 3, 5, 11, 101. Prime factorization of 83325 in exponential form is:

83325 = 3¹ × 5² × 11¹ × 101¹

Step-2: Prime Factorization of 83340

Prime factors of 83340 are 2, 3, 5, 463. Prime factorization of 83340 in exponential form is:

83340 = 2² × 3² × 5¹ × 463¹

Step-3: Factors of 83325

List of positive integer factors of 83325 that divides 83325 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 101, 165, 275, 303, 505, 825, 1111, 1515, 2525, 3333, 5555, 7575, 16665, 27775

Step-4: Factors of 83340

List of positive integer factors of 83340 that divides 83325 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 463, 926, 1389, 1852, 2315, 2778, 4167, 4630, 5556, 6945, 8334, 9260, 13890, 16668, 20835, 27780, 41670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83325 and 83340. The biggest common factor number is the GCF number.
So the greatest common factor 83325 and 83340 is 15.

Also check out the Least Common Multiple of 83325 and 83340