What is the Greatest Common Factor of 83319 and 83334?

Greatest common factor (GCF) of 83319 and 83334 is 3.

GCF(83319,83334) = 3

We will now calculate the prime factors of 83319 and 83334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83319 and 83334.

How to find the GCF of 83319 and 83334?

We will first find the prime factorization of 83319 and 83334. After we will calculate the factors of 83319 and 83334 and find the biggest common factor number .

Step-1: Prime Factorization of 83319

Prime factors of 83319 are 3, 27773. Prime factorization of 83319 in exponential form is:

83319 = 3¹ × 27773¹

Step-2: Prime Factorization of 83334

Prime factors of 83334 are 2, 3, 17, 19, 43. Prime factorization of 83334 in exponential form is:

83334 = 2¹ × 3¹ × 17¹ × 19¹ × 43¹

Step-3: Factors of 83319

List of positive integer factors of 83319 that divides 83319 without a remainder.

1, 3, 27773

Step-4: Factors of 83334

List of positive integer factors of 83334 that divides 83319 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 43, 51, 57, 86, 102, 114, 129, 258, 323, 646, 731, 817, 969, 1462, 1634, 1938, 2193, 2451, 4386, 4902, 13889, 27778, 41667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83319 and 83334. The biggest common factor number is the GCF number.
So the greatest common factor 83319 and 83334 is 3.

Also check out the Least Common Multiple of 83319 and 83334