What is the Greatest Common Factor of 68190 and 68205?

Greatest common factor (GCF) of 68190 and 68205 is 15.

GCF(68190,68205) = 15

We will now calculate the prime factors of 68190 and 68205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68190 and 68205.

How to find the GCF of 68190 and 68205?

We will first find the prime factorization of 68190 and 68205. After we will calculate the factors of 68190 and 68205 and find the biggest common factor number .

Step-1: Prime Factorization of 68190

Prime factors of 68190 are 2, 3, 5, 2273. Prime factorization of 68190 in exponential form is:

68190 = 2¹ × 3¹ × 5¹ × 2273¹

Step-2: 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-3: Factors of 68190

List of positive integer factors of 68190 that divides 68190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2273, 4546, 6819, 11365, 13638, 22730, 34095

Step-4: Factors of 68205

List of positive integer factors of 68205 that divides 68190 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68190 and 68205. The biggest common factor number is the GCF number.
So the greatest common factor 68190 and 68205 is 15.

Also check out the Least Common Multiple of 68190 and 68205