What is the Greatest Common Factor of 86643 and 86652?

Greatest common factor (GCF) of 86643 and 86652 is 9.

GCF(86643,86652) = 9

We will now calculate the prime factors of 86643 and 86652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86643 and 86652.

How to find the GCF of 86643 and 86652?

We will first find the prime factorization of 86643 and 86652. After we will calculate the factors of 86643 and 86652 and find the biggest common factor number .

Step-1: Prime Factorization of 86643

Prime factors of 86643 are 3, 3209. Prime factorization of 86643 in exponential form is:

86643 = 3³ × 3209¹

Step-2: Prime Factorization of 86652

Prime factors of 86652 are 2, 3, 29, 83. Prime factorization of 86652 in exponential form is:

86652 = 2² × 3² × 29¹ × 83¹

Step-3: Factors of 86643

List of positive integer factors of 86643 that divides 86643 without a remainder.

1, 3, 9, 27, 3209, 9627, 28881

Step-4: Factors of 86652

List of positive integer factors of 86652 that divides 86643 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 83, 87, 116, 166, 174, 249, 261, 332, 348, 498, 522, 747, 996, 1044, 1494, 2407, 2988, 4814, 7221, 9628, 14442, 21663, 28884, 43326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86643 and 86652. The biggest common factor number is the GCF number.
So the greatest common factor 86643 and 86652 is 9.

Also check out the Least Common Multiple of 86643 and 86652