What is the Greatest Common Factor of 83349 and 83366?

Greatest common factor (GCF) of 83349 and 83366 is 1.

GCF(83349,83366) = 1

We will now calculate the prime factors of 83349 and 83366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83349 and 83366.

How to find the GCF of 83349 and 83366?

We will first find the prime factorization of 83349 and 83366. After we will calculate the factors of 83349 and 83366 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 83366

Prime factors of 83366 are 2, 73, 571. Prime factorization of 83366 in exponential form is:

83366 = 2¹ × 73¹ × 571¹

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 83366

List of positive integer factors of 83366 that divides 83349 without a remainder.

1, 2, 73, 146, 571, 1142, 41683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83349 and 83366. The biggest common factor number is the GCF number.
So the greatest common factor 83349 and 83366 is 1.

Also check out the Least Common Multiple of 83349 and 83366