What is the Greatest Common Factor of 85347 and 85359?

Greatest common factor (GCF) of 85347 and 85359 is 3.

GCF(85347,85359) = 3

We will now calculate the prime factors of 85347 and 85359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85347 and 85359.

How to find the GCF of 85347 and 85359?

We will first find the prime factorization of 85347 and 85359. After we will calculate the factors of 85347 and 85359 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85359

Prime factors of 85359 are 3, 37, 769. Prime factorization of 85359 in exponential form is:

85359 = 3¹ × 37¹ × 769¹

Step-3: Factors of 85347

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

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

Step-4: Factors of 85359

List of positive integer factors of 85359 that divides 85347 without a remainder.

1, 3, 37, 111, 769, 2307, 28453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85347 and 85359. The biggest common factor number is the GCF number.
So the greatest common factor 85347 and 85359 is 3.

Also check out the Least Common Multiple of 85347 and 85359