What is the Greatest Common Factor of 83235 and 83241?

Greatest common factor (GCF) of 83235 and 83241 is 3.

GCF(83235,83241) = 3

We will now calculate the prime factors of 83235 and 83241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83235 and 83241.

How to find the GCF of 83235 and 83241?

We will first find the prime factorization of 83235 and 83241. After we will calculate the factors of 83235 and 83241 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83241

Prime factors of 83241 are 3, 3083. Prime factorization of 83241 in exponential form is:

83241 = 3³ × 3083¹

Step-3: Factors of 83235

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

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

Step-4: Factors of 83241

List of positive integer factors of 83241 that divides 83235 without a remainder.

1, 3, 9, 27, 3083, 9249, 27747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83235 and 83241. The biggest common factor number is the GCF number.
So the greatest common factor 83235 and 83241 is 3.

Also check out the Least Common Multiple of 83235 and 83241