What is the Greatest Common Factor of 83655 and 83673?

Greatest common factor (GCF) of 83655 and 83673 is 9.

GCF(83655,83673) = 9

We will now calculate the prime factors of 83655 and 83673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83655 and 83673.

How to find the GCF of 83655 and 83673?

We will first find the prime factorization of 83655 and 83673. After we will calculate the factors of 83655 and 83673 and find the biggest common factor number .

Step-1: Prime Factorization of 83655

Prime factors of 83655 are 3, 5, 11, 13. Prime factorization of 83655 in exponential form is:

83655 = 3² × 5¹ × 11¹ × 13²

Step-2: Prime Factorization of 83673

Prime factors of 83673 are 3, 1033. Prime factorization of 83673 in exponential form is:

83673 = 3⁴ × 1033¹

Step-3: Factors of 83655

List of positive integer factors of 83655 that divides 83655 without a remainder.

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 169, 195, 429, 495, 507, 585, 715, 845, 1287, 1521, 1859, 2145, 2535, 5577, 6435, 7605, 9295, 16731, 27885

Step-4: Factors of 83673

List of positive integer factors of 83673 that divides 83655 without a remainder.

1, 3, 9, 27, 81, 1033, 3099, 9297, 27891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83655 and 83673. The biggest common factor number is the GCF number.
So the greatest common factor 83655 and 83673 is 9.

Also check out the Least Common Multiple of 83655 and 83673