What is the Greatest Common Factor of 85328 and 85339?

Greatest common factor (GCF) of 85328 and 85339 is 1.

GCF(85328,85339) = 1

We will now calculate the prime factors of 85328 and 85339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85328 and 85339.

How to find the GCF of 85328 and 85339?

We will first find the prime factorization of 85328 and 85339. After we will calculate the factors of 85328 and 85339 and find the biggest common factor number .

Step-1: Prime Factorization of 85328

Prime factors of 85328 are 2, 5333. Prime factorization of 85328 in exponential form is:

85328 = 2⁴ × 5333¹

Step-2: Prime Factorization of 85339

Prime factors of 85339 are 61, 1399. Prime factorization of 85339 in exponential form is:

85339 = 61¹ × 1399¹

Step-3: Factors of 85328

List of positive integer factors of 85328 that divides 85328 without a remainder.

1, 2, 4, 8, 16, 5333, 10666, 21332, 42664

Step-4: Factors of 85339

List of positive integer factors of 85339 that divides 85328 without a remainder.

1, 61, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85328 and 85339. The biggest common factor number is the GCF number.
So the greatest common factor 85328 and 85339 is 1.

Also check out the Least Common Multiple of 85328 and 85339