What is the Greatest Common Factor of 86652 and 86661?

Greatest common factor (GCF) of 86652 and 86661 is 9.

GCF(86652,86661) = 9

We will now calculate the prime factors of 86652 and 86661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86652 and 86661.

How to find the GCF of 86652 and 86661?

We will first find the prime factorization of 86652 and 86661. After we will calculate the factors of 86652 and 86661 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 86661

Prime factors of 86661 are 3, 9629. Prime factorization of 86661 in exponential form is:

86661 = 3² × 9629¹

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 86661

List of positive integer factors of 86661 that divides 86652 without a remainder.

1, 3, 9, 9629, 28887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86652 and 86661. The biggest common factor number is the GCF number.
So the greatest common factor 86652 and 86661 is 9.

Also check out the Least Common Multiple of 86652 and 86661