What is the Greatest Common Factor of 68193 and 68199?

Greatest common factor (GCF) of 68193 and 68199 is 3.

GCF(68193,68199) = 3

We will now calculate the prime factors of 68193 and 68199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68193 and 68199.

How to find the GCF of 68193 and 68199?

We will first find the prime factorization of 68193 and 68199. After we will calculate the factors of 68193 and 68199 and find the biggest common factor number .

Step-1: Prime Factorization of 68193

Prime factors of 68193 are 3, 7577. Prime factorization of 68193 in exponential form is:

68193 = 3² × 7577¹

Step-2: Prime Factorization of 68199

Prime factors of 68199 are 3, 127, 179. Prime factorization of 68199 in exponential form is:

68199 = 3¹ × 127¹ × 179¹

Step-3: Factors of 68193

List of positive integer factors of 68193 that divides 68193 without a remainder.

1, 3, 9, 7577, 22731

Step-4: Factors of 68199

List of positive integer factors of 68199 that divides 68193 without a remainder.

1, 3, 127, 179, 381, 537, 22733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68193 and 68199. The biggest common factor number is the GCF number.
So the greatest common factor 68193 and 68199 is 3.

Also check out the Least Common Multiple of 68193 and 68199