What is the Greatest Common Factor of 91440 and 91449?

Greatest common factor (GCF) of 91440 and 91449 is 9.

GCF(91440,91449) = 9

We will now calculate the prime factors of 91440 and 91449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91440 and 91449.

How to find the GCF of 91440 and 91449?

We will first find the prime factorization of 91440 and 91449. After we will calculate the factors of 91440 and 91449 and find the biggest common factor number .

Step-1: Prime Factorization of 91440

Prime factors of 91440 are 2, 3, 5, 127. Prime factorization of 91440 in exponential form is:

91440 = 2⁴ × 3² × 5¹ × 127¹

Step-2: Prime Factorization of 91449

Prime factors of 91449 are 3, 1129. Prime factorization of 91449 in exponential form is:

91449 = 3⁴ × 1129¹

Step-3: Factors of 91440

List of positive integer factors of 91440 that divides 91440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 127, 144, 180, 240, 254, 360, 381, 508, 635, 720, 762, 1016, 1143, 1270, 1524, 1905, 2032, 2286, 2540, 3048, 3810, 4572, 5080, 5715, 6096, 7620, 9144, 10160, 11430, 15240, 18288, 22860, 30480, 45720

Step-4: Factors of 91449

List of positive integer factors of 91449 that divides 91440 without a remainder.

1, 3, 9, 27, 81, 1129, 3387, 10161, 30483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91440 and 91449. The biggest common factor number is the GCF number.
So the greatest common factor 91440 and 91449 is 9.

Also check out the Least Common Multiple of 91440 and 91449