What is the Greatest Common Factor of 85389 and 85401?

Greatest common factor (GCF) of 85389 and 85401 is 3.

GCF(85389,85401) = 3

We will now calculate the prime factors of 85389 and 85401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85389 and 85401.

How to find the GCF of 85389 and 85401?

We will first find the prime factorization of 85389 and 85401. After we will calculate the factors of 85389 and 85401 and find the biggest common factor number .

Step-1: Prime Factorization of 85389

Prime factors of 85389 are 3, 28463. Prime factorization of 85389 in exponential form is:

85389 = 3¹ × 28463¹

Step-2: Prime Factorization of 85401

Prime factors of 85401 are 3, 3163. Prime factorization of 85401 in exponential form is:

85401 = 3³ × 3163¹

Step-3: Factors of 85389

List of positive integer factors of 85389 that divides 85389 without a remainder.

1, 3, 28463

Step-4: Factors of 85401

List of positive integer factors of 85401 that divides 85389 without a remainder.

1, 3, 9, 27, 3163, 9489, 28467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85389 and 85401. The biggest common factor number is the GCF number.
So the greatest common factor 85389 and 85401 is 3.

Also check out the Least Common Multiple of 85389 and 85401