What is the Greatest Common Factor of 86598 and 86616?

Greatest common factor (GCF) of 86598 and 86616 is 18.

GCF(86598,86616) = 18

We will now calculate the prime factors of 86598 and 86616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86598 and 86616.

How to find the GCF of 86598 and 86616?

We will first find the prime factorization of 86598 and 86616. After we will calculate the factors of 86598 and 86616 and find the biggest common factor number .

Step-1: Prime Factorization of 86598

Prime factors of 86598 are 2, 3, 17, 283. Prime factorization of 86598 in exponential form is:

86598 = 2¹ × 3² × 17¹ × 283¹

Step-2: Prime Factorization of 86616

Prime factors of 86616 are 2, 3, 401. Prime factorization of 86616 in exponential form is:

86616 = 2³ × 3³ × 401¹

Step-3: Factors of 86598

List of positive integer factors of 86598 that divides 86598 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 283, 306, 566, 849, 1698, 2547, 4811, 5094, 9622, 14433, 28866, 43299

Step-4: Factors of 86616

List of positive integer factors of 86616 that divides 86598 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 401, 802, 1203, 1604, 2406, 3208, 3609, 4812, 7218, 9624, 10827, 14436, 21654, 28872, 43308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86598 and 86616. The biggest common factor number is the GCF number.
So the greatest common factor 86598 and 86616 is 18.

Also check out the Least Common Multiple of 86598 and 86616