What is the Greatest Common Factor of 91584 and 91600?

Greatest common factor (GCF) of 91584 and 91600 is 16.

GCF(91584,91600) = 16

We will now calculate the prime factors of 91584 and 91600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91584 and 91600.

How to find the GCF of 91584 and 91600?

We will first find the prime factorization of 91584 and 91600. After we will calculate the factors of 91584 and 91600 and find the biggest common factor number .

Step-1: Prime Factorization of 91584

Prime factors of 91584 are 2, 3, 53. Prime factorization of 91584 in exponential form is:

91584 = 2⁶ × 3³ × 53¹

Step-2: Prime Factorization of 91600

Prime factors of 91600 are 2, 5, 229. Prime factorization of 91600 in exponential form is:

91600 = 2⁴ × 5² × 229¹

Step-3: Factors of 91584

List of positive integer factors of 91584 that divides 91584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 53, 54, 64, 72, 96, 106, 108, 144, 159, 192, 212, 216, 288, 318, 424, 432, 477, 576, 636, 848, 864, 954, 1272, 1431, 1696, 1728, 1908, 2544, 2862, 3392, 3816, 5088, 5724, 7632, 10176, 11448, 15264, 22896, 30528, 45792

Step-4: Factors of 91600

List of positive integer factors of 91600 that divides 91584 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 229, 400, 458, 916, 1145, 1832, 2290, 3664, 4580, 5725, 9160, 11450, 18320, 22900, 45800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91584 and 91600. The biggest common factor number is the GCF number.
So the greatest common factor 91584 and 91600 is 16.

Also check out the Least Common Multiple of 91584 and 91600