What is the Greatest Common Factor of 83235 and 83253?

Greatest common factor (GCF) of 83235 and 83253 is 3.

GCF(83235,83253) = 3

We will now calculate the prime factors of 83235 and 83253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83235 and 83253.

How to find the GCF of 83235 and 83253?

We will first find the prime factorization of 83235 and 83253. After we will calculate the factors of 83235 and 83253 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 83253

Prime factors of 83253 are 3, 27751. Prime factorization of 83253 in exponential form is:

83253 = 3¹ × 27751¹

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 83253

List of positive integer factors of 83253 that divides 83235 without a remainder.

1, 3, 27751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83235 and 83253. The biggest common factor number is the GCF number.
So the greatest common factor 83235 and 83253 is 3.

Also check out the Least Common Multiple of 83235 and 83253