What is the Greatest Common Factor of 83295 and 83315?

Greatest common factor (GCF) of 83295 and 83315 is 5.

GCF(83295,83315) = 5

We will now calculate the prime factors of 83295 and 83315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83295 and 83315.

How to find the GCF of 83295 and 83315?

We will first find the prime factorization of 83295 and 83315. After we will calculate the factors of 83295 and 83315 and find the biggest common factor number .

Step-1: Prime Factorization of 83295

Prime factors of 83295 are 3, 5, 617. Prime factorization of 83295 in exponential form is:

83295 = 3³ × 5¹ × 617¹

Step-2: Prime Factorization of 83315

Prime factors of 83315 are 5, 19, 877. Prime factorization of 83315 in exponential form is:

83315 = 5¹ × 19¹ × 877¹

Step-3: Factors of 83295

List of positive integer factors of 83295 that divides 83295 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 617, 1851, 3085, 5553, 9255, 16659, 27765

Step-4: Factors of 83315

List of positive integer factors of 83315 that divides 83295 without a remainder.

1, 5, 19, 95, 877, 4385, 16663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83295 and 83315. The biggest common factor number is the GCF number.
So the greatest common factor 83295 and 83315 is 5.

Also check out the Least Common Multiple of 83295 and 83315