What is the Greatest Common Factor of 85293 and 85306?

Greatest common factor (GCF) of 85293 and 85306 is 13.

GCF(85293,85306) = 13

We will now calculate the prime factors of 85293 and 85306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85293 and 85306.

How to find the GCF of 85293 and 85306?

We will first find the prime factorization of 85293 and 85306. After we will calculate the factors of 85293 and 85306 and find the biggest common factor number .

Step-1: Prime Factorization of 85293

Prime factors of 85293 are 3, 13. Prime factorization of 85293 in exponential form is:

85293 = 3⁸ × 13¹

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 85293

List of positive integer factors of 85293 that divides 85293 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 2187, 3159, 6561, 9477, 28431

Step-4: Factors of 85306

List of positive integer factors of 85306 that divides 85293 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 85293 and 85306. The biggest common factor number is the GCF number.
So the greatest common factor 85293 and 85306 is 13.

Also check out the Least Common Multiple of 85293 and 85306