What is the Greatest Common Factor of 85329 and 85348?

Greatest common factor (GCF) of 85329 and 85348 is 19.

GCF(85329,85348) = 19

We will now calculate the prime factors of 85329 and 85348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85329 and 85348.

How to find the GCF of 85329 and 85348?

We will first find the prime factorization of 85329 and 85348. After we will calculate the factors of 85329 and 85348 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 85348

Prime factors of 85348 are 2, 19, 1123. Prime factorization of 85348 in exponential form is:

85348 = 2² × 19¹ × 1123¹

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 85348

List of positive integer factors of 85348 that divides 85329 without a remainder.

1, 2, 4, 19, 38, 76, 1123, 2246, 4492, 21337, 42674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85329 and 85348. The biggest common factor number is the GCF number.
So the greatest common factor 85329 and 85348 is 19.

Also check out the Least Common Multiple of 85329 and 85348