What is the Greatest Common Factor of 85314 and 85329?

Greatest common factor (GCF) of 85314 and 85329 is 3.

GCF(85314,85329) = 3

We will now calculate the prime factors of 85314 and 85329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85314 and 85329.

How to find the GCF of 85314 and 85329?

We will first find the prime factorization of 85314 and 85329. After we will calculate the factors of 85314 and 85329 and find the biggest common factor number .

Step-1: Prime Factorization of 85314

Prime factors of 85314 are 2, 3, 59, 241. Prime factorization of 85314 in exponential form is:

85314 = 2¹ × 3¹ × 59¹ × 241¹

Step-2: 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-3: Factors of 85314

List of positive integer factors of 85314 that divides 85314 without a remainder.

1, 2, 3, 6, 59, 118, 177, 241, 354, 482, 723, 1446, 14219, 28438, 42657

Step-4: Factors of 85329

List of positive integer factors of 85329 that divides 85314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85314 and 85329. The biggest common factor number is the GCF number.
So the greatest common factor 85314 and 85329 is 3.

Also check out the Least Common Multiple of 85314 and 85329