What is the Greatest Common Factor of 83343 and 83349?

Greatest common factor (GCF) of 83343 and 83349 is 3.

GCF(83343,83349) = 3

We will now calculate the prime factors of 83343 and 83349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83343 and 83349.

How to find the GCF of 83343 and 83349?

We will first find the prime factorization of 83343 and 83349. After we will calculate the factors of 83343 and 83349 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 83349

Prime factors of 83349 are 3, 7. Prime factorization of 83349 in exponential form is:

83349 = 3⁵ × 7³

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 83349

List of positive integer factors of 83349 that divides 83343 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 343, 441, 567, 1029, 1323, 1701, 3087, 3969, 9261, 11907, 27783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83343 and 83349. The biggest common factor number is the GCF number.
So the greatest common factor 83343 and 83349 is 3.

Also check out the Least Common Multiple of 83343 and 83349