What is the Greatest Common Factor of 83340 and 83360?

Greatest common factor (GCF) of 83340 and 83360 is 20.

GCF(83340,83360) = 20

We will now calculate the prime factors of 83340 and 83360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83340 and 83360.

How to find the GCF of 83340 and 83360?

We will first find the prime factorization of 83340 and 83360. After we will calculate the factors of 83340 and 83360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83360

Prime factors of 83360 are 2, 5, 521. Prime factorization of 83360 in exponential form is:

83360 = 2⁵ × 5¹ × 521¹

Step-3: Factors of 83340

List of positive integer factors of 83340 that divides 83340 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

Step-4: Factors of 83360

List of positive integer factors of 83360 that divides 83340 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 521, 1042, 2084, 2605, 4168, 5210, 8336, 10420, 16672, 20840, 41680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83340 and 83360. The biggest common factor number is the GCF number.
So the greatest common factor 83340 and 83360 is 20.

Also check out the Least Common Multiple of 83340 and 83360