What is the Greatest Common Factor of 85289 and 85309?

Greatest common factor (GCF) of 85289 and 85309 is 1.

GCF(85289,85309) = 1

We will now calculate the prime factors of 85289 and 85309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85289 and 85309.

How to find the GCF of 85289 and 85309?

We will first find the prime factorization of 85289 and 85309. After we will calculate the factors of 85289 and 85309 and find the biggest common factor number .

Step-1: Prime Factorization of 85289

Prime factors of 85289 are 17, 29, 173. Prime factorization of 85289 in exponential form is:

85289 = 17¹ × 29¹ × 173¹

Step-2: Prime Factorization of 85309

Prime factors of 85309 are 7, 1741. Prime factorization of 85309 in exponential form is:

85309 = 7² × 1741¹

Step-3: Factors of 85289

List of positive integer factors of 85289 that divides 85289 without a remainder.

1, 17, 29, 173, 493, 2941, 5017

Step-4: Factors of 85309

List of positive integer factors of 85309 that divides 85289 without a remainder.

1, 7, 49, 1741, 12187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85289 and 85309. The biggest common factor number is the GCF number.
So the greatest common factor 85289 and 85309 is 1.

Also check out the Least Common Multiple of 85289 and 85309