What is the Greatest Common Factor of 84331 and 84344?

Greatest common factor (GCF) of 84331 and 84344 is 13.

GCF(84331,84344) = 13

We will now calculate the prime factors of 84331 and 84344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84331 and 84344.

How to find the GCF of 84331 and 84344?

We will first find the prime factorization of 84331 and 84344. After we will calculate the factors of 84331 and 84344 and find the biggest common factor number .

Step-1: Prime Factorization of 84331

Prime factors of 84331 are 13, 499. Prime factorization of 84331 in exponential form is:

84331 = 13² × 499¹

Step-2: Prime Factorization of 84344

Prime factors of 84344 are 2, 13, 811. Prime factorization of 84344 in exponential form is:

84344 = 2³ × 13¹ × 811¹

Step-3: Factors of 84331

List of positive integer factors of 84331 that divides 84331 without a remainder.

1, 13, 169, 499, 6487

Step-4: Factors of 84344

List of positive integer factors of 84344 that divides 84331 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 811, 1622, 3244, 6488, 10543, 21086, 42172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84331 and 84344. The biggest common factor number is the GCF number.
So the greatest common factor 84331 and 84344 is 13.

Also check out the Least Common Multiple of 84331 and 84344