What is the Greatest Common Factor of 68205 and 68214?

Greatest common factor (GCF) of 68205 and 68214 is 3.

GCF(68205,68214) = 3

We will now calculate the prime factors of 68205 and 68214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68205 and 68214.

How to find the GCF of 68205 and 68214?

We will first find the prime factorization of 68205 and 68214. After we will calculate the factors of 68205 and 68214 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 68214

Prime factors of 68214 are 2, 3, 11369. Prime factorization of 68214 in exponential form is:

68214 = 2¹ × 3¹ × 11369¹

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 68214

List of positive integer factors of 68214 that divides 68205 without a remainder.

1, 2, 3, 6, 11369, 22738, 34107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68205 and 68214. The biggest common factor number is the GCF number.
So the greatest common factor 68205 and 68214 is 3.

Also check out the Least Common Multiple of 68205 and 68214