What is the Greatest Common Factor of 85289 and 85306?

Greatest common factor (GCF) of 85289 and 85306 is 17.

GCF(85289,85306) = 17

We will now calculate the prime factors of 85289 and 85306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85289 and 85306.

How to find the GCF of 85289 and 85306?

We will first find the prime factorization of 85289 and 85306. After we will calculate the factors of 85289 and 85306 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 85306

Prime factors of 85306 are 2, 13, 17, 193. Prime factorization of 85306 in exponential form is:

85306 = 2¹ × 13¹ × 17¹ × 193¹

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 85306

List of positive integer factors of 85306 that divides 85289 without a remainder.

1, 2, 13, 17, 26, 34, 193, 221, 386, 442, 2509, 3281, 5018, 6562, 42653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85289 and 85306. The biggest common factor number is the GCF number.
So the greatest common factor 85289 and 85306 is 17.

Also check out the Least Common Multiple of 85289 and 85306