What is the Greatest Common Factor of 86904 and 86913?

Greatest common factor (GCF) of 86904 and 86913 is 9.

GCF(86904,86913) = 9

We will now calculate the prime factors of 86904 and 86913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86904 and 86913.

How to find the GCF of 86904 and 86913?

We will first find the prime factorization of 86904 and 86913. After we will calculate the factors of 86904 and 86913 and find the biggest common factor number .

Step-1: Prime Factorization of 86904

Prime factors of 86904 are 2, 3, 17, 71. Prime factorization of 86904 in exponential form is:

86904 = 2³ × 3² × 17¹ × 71¹

Step-2: Prime Factorization of 86913

Prime factors of 86913 are 3, 29, 37. Prime factorization of 86913 in exponential form is:

86913 = 3⁴ × 29¹ × 37¹

Step-3: Factors of 86904

List of positive integer factors of 86904 that divides 86904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 71, 72, 102, 136, 142, 153, 204, 213, 284, 306, 408, 426, 568, 612, 639, 852, 1207, 1224, 1278, 1704, 2414, 2556, 3621, 4828, 5112, 7242, 9656, 10863, 14484, 21726, 28968, 43452

Step-4: Factors of 86913

List of positive integer factors of 86913 that divides 86904 without a remainder.

1, 3, 9, 27, 29, 37, 81, 87, 111, 261, 333, 783, 999, 1073, 2349, 2997, 3219, 9657, 28971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86904 and 86913. The biggest common factor number is the GCF number.
So the greatest common factor 86904 and 86913 is 9.

Also check out the Least Common Multiple of 86904 and 86913