What is the Greatest Common Factor of 68220 and 68235?

Greatest common factor (GCF) of 68220 and 68235 is 15.

GCF(68220,68235) = 15

We will now calculate the prime factors of 68220 and 68235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68220 and 68235.

How to find the GCF of 68220 and 68235?

We will first find the prime factorization of 68220 and 68235. After we will calculate the factors of 68220 and 68235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68235

Prime factors of 68235 are 3, 5, 4549. Prime factorization of 68235 in exponential form is:

68235 = 3¹ × 5¹ × 4549¹

Step-3: Factors of 68220

List of positive integer factors of 68220 that divides 68220 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

Step-4: Factors of 68235

List of positive integer factors of 68235 that divides 68220 without a remainder.

1, 3, 5, 15, 4549, 13647, 22745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68220 and 68235. The biggest common factor number is the GCF number.
So the greatest common factor 68220 and 68235 is 15.

Also check out the Least Common Multiple of 68220 and 68235