What is the Greatest Common Factor of 68175 and 68179?

Greatest common factor (GCF) of 68175 and 68179 is 1.

GCF(68175,68179) = 1

We will now calculate the prime factors of 68175 and 68179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68175 and 68179.

How to find the GCF of 68175 and 68179?

We will first find the prime factorization of 68175 and 68179. After we will calculate the factors of 68175 and 68179 and find the biggest common factor number .

Step-1: Prime Factorization of 68175

Prime factors of 68175 are 3, 5, 101. Prime factorization of 68175 in exponential form is:

68175 = 3³ × 5² × 101¹

Step-2: Prime Factorization of 68179

Prime factors of 68179 are 29, 2351. Prime factorization of 68179 in exponential form is:

68179 = 29¹ × 2351¹

Step-3: Factors of 68175

List of positive integer factors of 68175 that divides 68175 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 101, 135, 225, 303, 505, 675, 909, 1515, 2525, 2727, 4545, 7575, 13635, 22725

Step-4: Factors of 68179

List of positive integer factors of 68179 that divides 68175 without a remainder.

1, 29, 2351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68175 and 68179. The biggest common factor number is the GCF number.
So the greatest common factor 68175 and 68179 is 1.

Also check out the Least Common Multiple of 68175 and 68179