What is the Greatest Common Factor of 83344 and 83359?

Greatest common factor (GCF) of 83344 and 83359 is 1.

GCF(83344,83359) = 1

We will now calculate the prime factors of 83344 and 83359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83344 and 83359.

How to find the GCF of 83344 and 83359?

We will first find the prime factorization of 83344 and 83359. After we will calculate the factors of 83344 and 83359 and find the biggest common factor number .

Step-1: Prime Factorization of 83344

Prime factors of 83344 are 2, 5209. Prime factorization of 83344 in exponential form is:

83344 = 2⁴ × 5209¹

Step-2: Prime Factorization of 83359

Prime factors of 83359 are 31, 2689. Prime factorization of 83359 in exponential form is:

83359 = 31¹ × 2689¹

Step-3: Factors of 83344

List of positive integer factors of 83344 that divides 83344 without a remainder.

1, 2, 4, 8, 16, 5209, 10418, 20836, 41672

Step-4: Factors of 83359

List of positive integer factors of 83359 that divides 83344 without a remainder.

1, 31, 2689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83344 and 83359. The biggest common factor number is the GCF number.
So the greatest common factor 83344 and 83359 is 1.

Also check out the Least Common Multiple of 83344 and 83359