What is the Greatest Common Factor of 91432 and 91440?

Greatest common factor (GCF) of 91432 and 91440 is 8.

GCF(91432,91440) = 8

We will now calculate the prime factors of 91432 and 91440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91432 and 91440.

How to find the GCF of 91432 and 91440?

We will first find the prime factorization of 91432 and 91440. After we will calculate the factors of 91432 and 91440 and find the biggest common factor number .

Step-1: Prime Factorization of 91432

Prime factors of 91432 are 2, 11, 1039. Prime factorization of 91432 in exponential form is:

91432 = 2³ × 11¹ × 1039¹

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 91432

List of positive integer factors of 91432 that divides 91432 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1039, 2078, 4156, 8312, 11429, 22858, 45716

Step-4: Factors of 91440

List of positive integer factors of 91440 that divides 91432 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 91432 and 91440. The biggest common factor number is the GCF number.
So the greatest common factor 91432 and 91440 is 8.

Also check out the Least Common Multiple of 91432 and 91440