What is the Greatest Common Factor of 85329 and 85341?

Greatest common factor (GCF) of 85329 and 85341 is 3.

GCF(85329,85341) = 3

We will now calculate the prime factors of 85329 and 85341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85329 and 85341.

How to find the GCF of 85329 and 85341?

We will first find the prime factorization of 85329 and 85341. After we will calculate the factors of 85329 and 85341 and find the biggest common factor number .

Step-1: Prime Factorization of 85329

Prime factors of 85329 are 3, 19, 499. Prime factorization of 85329 in exponential form is:

85329 = 3² × 19¹ × 499¹

Step-2: Prime Factorization of 85341

Prime factors of 85341 are 3, 28447. Prime factorization of 85341 in exponential form is:

85341 = 3¹ × 28447¹

Step-3: Factors of 85329

List of positive integer factors of 85329 that divides 85329 without a remainder.

1, 3, 9, 19, 57, 171, 499, 1497, 4491, 9481, 28443

Step-4: Factors of 85341

List of positive integer factors of 85341 that divides 85329 without a remainder.

1, 3, 28447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85329 and 85341. The biggest common factor number is the GCF number.
So the greatest common factor 85329 and 85341 is 3.

Also check out the Least Common Multiple of 85329 and 85341