What is the Greatest Common Factor of 91430 and 91440?

Greatest common factor (GCF) of 91430 and 91440 is 10.

GCF(91430,91440) = 10

We will now calculate the prime factors of 91430 and 91440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91430 and 91440.

How to find the GCF of 91430 and 91440?

We will first find the prime factorization of 91430 and 91440. After we will calculate the factors of 91430 and 91440 and find the biggest common factor number .

Step-1: Prime Factorization of 91430

Prime factors of 91430 are 2, 5, 41, 223. Prime factorization of 91430 in exponential form is:

91430 = 2¹ × 5¹ × 41¹ × 223¹

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 91430

List of positive integer factors of 91430 that divides 91430 without a remainder.

1, 2, 5, 10, 41, 82, 205, 223, 410, 446, 1115, 2230, 9143, 18286, 45715

Step-4: Factors of 91440

List of positive integer factors of 91440 that divides 91430 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 91430 and 91440. The biggest common factor number is the GCF number.
So the greatest common factor 91430 and 91440 is 10.

Also check out the Least Common Multiple of 91430 and 91440