What is the Greatest Common Factor of 85309 and 85321?

Greatest common factor (GCF) of 85309 and 85321 is 1.

GCF(85309,85321) = 1

We will now calculate the prime factors of 85309 and 85321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85309 and 85321.

How to find the GCF of 85309 and 85321?

We will first find the prime factorization of 85309 and 85321. After we will calculate the factors of 85309 and 85321 and find the biggest common factor number .

Step-1: Prime Factorization of 85309

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

85309 = 7² × 1741¹

Step-2: Prime Factorization of 85321

Prime factors of 85321 are 41, 2081. Prime factorization of 85321 in exponential form is:

85321 = 41¹ × 2081¹

Step-3: Factors of 85309

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

1, 7, 49, 1741, 12187

Step-4: Factors of 85321

List of positive integer factors of 85321 that divides 85309 without a remainder.

1, 41, 2081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85309 and 85321. The biggest common factor number is the GCF number.
So the greatest common factor 85309 and 85321 is 1.

Also check out the Least Common Multiple of 85309 and 85321