What is the Greatest Common Factor of 83217 and 83235?

Greatest common factor (GCF) of 83217 and 83235 is 3.

GCF(83217,83235) = 3

We will now calculate the prime factors of 83217 and 83235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83217 and 83235.

How to find the GCF of 83217 and 83235?

We will first find the prime factorization of 83217 and 83235. After we will calculate the factors of 83217 and 83235 and find the biggest common factor number .

Step-1: Prime Factorization of 83217

Prime factors of 83217 are 3, 27739. Prime factorization of 83217 in exponential form is:

83217 = 3¹ × 27739¹

Step-2: Prime Factorization of 83235

Prime factors of 83235 are 3, 5, 31, 179. Prime factorization of 83235 in exponential form is:

83235 = 3¹ × 5¹ × 31¹ × 179¹

Step-3: Factors of 83217

List of positive integer factors of 83217 that divides 83217 without a remainder.

1, 3, 27739

Step-4: Factors of 83235

List of positive integer factors of 83235 that divides 83217 without a remainder.

1, 3, 5, 15, 31, 93, 155, 179, 465, 537, 895, 2685, 5549, 16647, 27745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83217 and 83235. The biggest common factor number is the GCF number.
So the greatest common factor 83217 and 83235 is 3.

Also check out the Least Common Multiple of 83217 and 83235