What is the Greatest Common Factor of 91424 and 91440?

Greatest common factor (GCF) of 91424 and 91440 is 16.

GCF(91424,91440) = 16

We will now calculate the prime factors of 91424 and 91440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91424 and 91440.

How to find the GCF of 91424 and 91440?

We will first find the prime factorization of 91424 and 91440. After we will calculate the factors of 91424 and 91440 and find the biggest common factor number .

Step-1: Prime Factorization of 91424

Prime factors of 91424 are 2, 2857. Prime factorization of 91424 in exponential form is:

91424 = 2⁵ × 2857¹

Step-2: 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-3: Factors of 91424

List of positive integer factors of 91424 that divides 91424 without a remainder.

1, 2, 4, 8, 16, 32, 2857, 5714, 11428, 22856, 45712

Step-4: Factors of 91440

List of positive integer factors of 91440 that divides 91424 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91424 and 91440. The biggest common factor number is the GCF number.
So the greatest common factor 91424 and 91440 is 16.

Also check out the Least Common Multiple of 91424 and 91440