What is the Greatest Common Factor of 83283 and 83298?

Greatest common factor (GCF) of 83283 and 83298 is 3.

GCF(83283,83298) = 3

We will now calculate the prime factors of 83283 and 83298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83283 and 83298.

How to find the GCF of 83283 and 83298?

We will first find the prime factorization of 83283 and 83298. After we will calculate the factors of 83283 and 83298 and find the biggest common factor number .

Step-1: Prime Factorization of 83283

Prime factors of 83283 are 3, 17, 23, 71. Prime factorization of 83283 in exponential form is:

83283 = 3¹ × 17¹ × 23¹ × 71¹

Step-2: Prime Factorization of 83298

Prime factors of 83298 are 2, 3, 13883. Prime factorization of 83298 in exponential form is:

83298 = 2¹ × 3¹ × 13883¹

Step-3: Factors of 83283

List of positive integer factors of 83283 that divides 83283 without a remainder.

1, 3, 17, 23, 51, 69, 71, 213, 391, 1173, 1207, 1633, 3621, 4899, 27761

Step-4: Factors of 83298

List of positive integer factors of 83298 that divides 83283 without a remainder.

1, 2, 3, 6, 13883, 27766, 41649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83283 and 83298. The biggest common factor number is the GCF number.
So the greatest common factor 83283 and 83298 is 3.

Also check out the Least Common Multiple of 83283 and 83298