What is the Greatest Common Factor of 91440 and 91458?

Greatest common factor (GCF) of 91440 and 91458 is 18.

GCF(91440,91458) = 18

We will now calculate the prime factors of 91440 and 91458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91440 and 91458.

How to find the GCF of 91440 and 91458?

We will first find the prime factorization of 91440 and 91458. After we will calculate the factors of 91440 and 91458 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 91458

Prime factors of 91458 are 2, 3, 5081. Prime factorization of 91458 in exponential form is:

91458 = 2¹ × 3² × 5081¹

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 91458

List of positive integer factors of 91458 that divides 91440 without a remainder.

1, 2, 3, 6, 9, 18, 5081, 10162, 15243, 30486, 45729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91440 and 91458. The biggest common factor number is the GCF number.
So the greatest common factor 91440 and 91458 is 18.

Also check out the Least Common Multiple of 91440 and 91458