What is the Greatest Common Factor of 85305 and 85317?

Greatest common factor (GCF) of 85305 and 85317 is 3.

GCF(85305,85317) = 3

We will now calculate the prime factors of 85305 and 85317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85305 and 85317.

How to find the GCF of 85305 and 85317?

We will first find the prime factorization of 85305 and 85317. After we will calculate the factors of 85305 and 85317 and find the biggest common factor number .

Step-1: Prime Factorization of 85305

Prime factors of 85305 are 3, 5, 11, 47. Prime factorization of 85305 in exponential form is:

85305 = 3¹ × 5¹ × 11² × 47¹

Step-2: Prime Factorization of 85317

Prime factors of 85317 are 3, 28439. Prime factorization of 85317 in exponential form is:

85317 = 3¹ × 28439¹

Step-3: Factors of 85305

List of positive integer factors of 85305 that divides 85305 without a remainder.

1, 3, 5, 11, 15, 33, 47, 55, 121, 141, 165, 235, 363, 517, 605, 705, 1551, 1815, 2585, 5687, 7755, 17061, 28435

Step-4: Factors of 85317

List of positive integer factors of 85317 that divides 85305 without a remainder.

1, 3, 28439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85305 and 85317. The biggest common factor number is the GCF number.
So the greatest common factor 85305 and 85317 is 3.

Also check out the Least Common Multiple of 85305 and 85317