What is the Greatest Common Factor of 68205 and 68217?

Greatest common factor (GCF) of 68205 and 68217 is 3.

GCF(68205,68217) = 3

We will now calculate the prime factors of 68205 and 68217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68205 and 68217.

How to find the GCF of 68205 and 68217?

We will first find the prime factorization of 68205 and 68217. After we will calculate the factors of 68205 and 68217 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 68217

Prime factors of 68217 are 3, 22739. Prime factorization of 68217 in exponential form is:

68217 = 3¹ × 22739¹

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 68217

List of positive integer factors of 68217 that divides 68205 without a remainder.

1, 3, 22739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68205 and 68217. The biggest common factor number is the GCF number.
So the greatest common factor 68205 and 68217 is 3.

Also check out the Least Common Multiple of 68205 and 68217