What is the Greatest Common Factor of 85331 and 85347?

Greatest common factor (GCF) of 85331 and 85347 is 1.

GCF(85331,85347) = 1

We will now calculate the prime factors of 85331 and 85347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85331 and 85347.

How to find the GCF of 85331 and 85347?

We will first find the prime factorization of 85331 and 85347. After we will calculate the factors of 85331 and 85347 and find the biggest common factor number .

Step-1: Prime Factorization of 85331

Prime factors of 85331 are 85331. Prime factorization of 85331 in exponential form is:

85331 = 85331¹

Step-2: Prime Factorization of 85347

Prime factors of 85347 are 3, 29, 109. Prime factorization of 85347 in exponential form is:

85347 = 3³ × 29¹ × 109¹

Step-3: Factors of 85331

List of positive integer factors of 85331 that divides 85331 without a remainder.

Step-4: Factors of 85347

List of positive integer factors of 85347 that divides 85331 without a remainder.

1, 3, 9, 27, 29, 87, 109, 261, 327, 783, 981, 2943, 3161, 9483, 28449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85331 and 85347. The biggest common factor number is the GCF number.
So the greatest common factor 85331 and 85347 is 1.

Also check out the Least Common Multiple of 85331 and 85347