What is the Greatest Common Factor of 83343 and 83363?

Greatest common factor (GCF) of 83343 and 83363 is 1.

GCF(83343,83363) = 1

We will now calculate the prime factors of 83343 and 83363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83343 and 83363.

How to find the GCF of 83343 and 83363?

We will first find the prime factorization of 83343 and 83363. After we will calculate the factors of 83343 and 83363 and find the biggest common factor number .

Step-1: Prime Factorization of 83343

Prime factors of 83343 are 3, 13, 2137. Prime factorization of 83343 in exponential form is:

83343 = 3¹ × 13¹ × 2137¹

Step-2: Prime Factorization of 83363

Prime factors of 83363 are 7, 11909. Prime factorization of 83363 in exponential form is:

83363 = 7¹ × 11909¹

Step-3: Factors of 83343

List of positive integer factors of 83343 that divides 83343 without a remainder.

1, 3, 13, 39, 2137, 6411, 27781

Step-4: Factors of 83363

List of positive integer factors of 83363 that divides 83343 without a remainder.

1, 7, 11909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83343 and 83363. The biggest common factor number is the GCF number.
So the greatest common factor 83343 and 83363 is 1.

Also check out the Least Common Multiple of 83343 and 83363