What is the Greatest Common Factor of 91584 and 91590?

Greatest common factor (GCF) of 91584 and 91590 is 6.

GCF(91584,91590) = 6

We will now calculate the prime factors of 91584 and 91590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91584 and 91590.

How to find the GCF of 91584 and 91590?

We will first find the prime factorization of 91584 and 91590. After we will calculate the factors of 91584 and 91590 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 91590

Prime factors of 91590 are 2, 3, 5, 43, 71. Prime factorization of 91590 in exponential form is:

91590 = 2¹ × 3¹ × 5¹ × 43¹ × 71¹

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 91590

List of positive integer factors of 91590 that divides 91584 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 71, 86, 129, 142, 213, 215, 258, 355, 426, 430, 645, 710, 1065, 1290, 2130, 3053, 6106, 9159, 15265, 18318, 30530, 45795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91584 and 91590. The biggest common factor number is the GCF number.
So the greatest common factor 91584 and 91590 is 6.

Also check out the Least Common Multiple of 91584 and 91590