What is the Greatest Common Factor of 83646 and 83659?

Greatest common factor (GCF) of 83646 and 83659 is 1.

GCF(83646,83659) = 1

We will now calculate the prime factors of 83646 and 83659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83646 and 83659.

How to find the GCF of 83646 and 83659?

We will first find the prime factorization of 83646 and 83659. After we will calculate the factors of 83646 and 83659 and find the biggest common factor number .

Step-1: Prime Factorization of 83646

Prime factors of 83646 are 2, 3, 1549. Prime factorization of 83646 in exponential form is:

83646 = 2¹ × 3³ × 1549¹

Step-2: Prime Factorization of 83659

Prime factors of 83659 are 269, 311. Prime factorization of 83659 in exponential form is:

83659 = 269¹ × 311¹

Step-3: Factors of 83646

List of positive integer factors of 83646 that divides 83646 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1549, 3098, 4647, 9294, 13941, 27882, 41823

Step-4: Factors of 83659

List of positive integer factors of 83659 that divides 83646 without a remainder.

1, 269, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83646 and 83659. The biggest common factor number is the GCF number.
So the greatest common factor 83646 and 83659 is 1.

Also check out the Least Common Multiple of 83646 and 83659