What is the Greatest Common Factor of 86652 and 86667?

Greatest common factor (GCF) of 86652 and 86667 is 3.

GCF(86652,86667) = 3

We will now calculate the prime factors of 86652 and 86667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86652 and 86667.

How to find the GCF of 86652 and 86667?

We will first find the prime factorization of 86652 and 86667. After we will calculate the factors of 86652 and 86667 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86667

Prime factors of 86667 are 3, 7, 4127. Prime factorization of 86667 in exponential form is:

86667 = 3¹ × 7¹ × 4127¹

Step-3: Factors of 86652

List of positive integer factors of 86652 that divides 86652 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

Step-4: Factors of 86667

List of positive integer factors of 86667 that divides 86652 without a remainder.

1, 3, 7, 21, 4127, 12381, 28889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86652 and 86667. The biggest common factor number is the GCF number.
So the greatest common factor 86652 and 86667 is 3.

Also check out the Least Common Multiple of 86652 and 86667