What is the Greatest Common Factor of 83286 and 83295?

Greatest common factor (GCF) of 83286 and 83295 is 9.

GCF(83286,83295) = 9

We will now calculate the prime factors of 83286 and 83295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83286 and 83295.

How to find the GCF of 83286 and 83295?

We will first find the prime factorization of 83286 and 83295. After we will calculate the factors of 83286 and 83295 and find the biggest common factor number .

Step-1: Prime Factorization of 83286

Prime factors of 83286 are 2, 3, 7, 661. Prime factorization of 83286 in exponential form is:

83286 = 2¹ × 3² × 7¹ × 661¹

Step-2: 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-3: Factors of 83286

List of positive integer factors of 83286 that divides 83286 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 661, 1322, 1983, 3966, 4627, 5949, 9254, 11898, 13881, 27762, 41643

Step-4: Factors of 83295

List of positive integer factors of 83295 that divides 83286 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83286 and 83295. The biggest common factor number is the GCF number.
So the greatest common factor 83286 and 83295 is 9.

Also check out the Least Common Multiple of 83286 and 83295