What is the Greatest Common Factor of 68205 and 68220?

Greatest common factor (GCF) of 68205 and 68220 is 15.

GCF(68205,68220) = 15

We will now calculate the prime factors of 68205 and 68220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68205 and 68220.

How to find the GCF of 68205 and 68220?

We will first find the prime factorization of 68205 and 68220. After we will calculate the factors of 68205 and 68220 and find the biggest common factor number .

Step-1: Prime Factorization of 68205

Prime factors of 68205 are 3, 5, 4547. Prime factorization of 68205 in exponential form is:

68205 = 3¹ × 5¹ × 4547¹

Step-2: Prime Factorization of 68220

Prime factors of 68220 are 2, 3, 5, 379. Prime factorization of 68220 in exponential form is:

68220 = 2² × 3² × 5¹ × 379¹

Step-3: Factors of 68205

List of positive integer factors of 68205 that divides 68205 without a remainder.

1, 3, 5, 15, 4547, 13641, 22735

Step-4: Factors of 68220

List of positive integer factors of 68220 that divides 68205 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 379, 758, 1137, 1516, 1895, 2274, 3411, 3790, 4548, 5685, 6822, 7580, 11370, 13644, 17055, 22740, 34110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68205 and 68220. The biggest common factor number is the GCF number.
So the greatest common factor 68205 and 68220 is 15.

Also check out the Least Common Multiple of 68205 and 68220