What is the Greatest Common Factor of 83349 and 83367?

Greatest common factor (GCF) of 83349 and 83367 is 9.

GCF(83349,83367) = 9

We will now calculate the prime factors of 83349 and 83367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83349 and 83367.

How to find the GCF of 83349 and 83367?

We will first find the prime factorization of 83349 and 83367. After we will calculate the factors of 83349 and 83367 and find the biggest common factor number .

Step-1: Prime Factorization of 83349

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

83349 = 3⁵ × 7³

Step-2: Prime Factorization of 83367

Prime factors of 83367 are 3, 59, 157. Prime factorization of 83367 in exponential form is:

83367 = 3² × 59¹ × 157¹

Step-3: Factors of 83349

List of positive integer factors of 83349 that divides 83349 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

Step-4: Factors of 83367

List of positive integer factors of 83367 that divides 83349 without a remainder.

1, 3, 9, 59, 157, 177, 471, 531, 1413, 9263, 27789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83349 and 83367. The biggest common factor number is the GCF number.
So the greatest common factor 83349 and 83367 is 9.

Also check out the Least Common Multiple of 83349 and 83367