What is the Greatest Common Factor of 91440 and 91448?

Greatest common factor (GCF) of 91440 and 91448 is 8.

GCF(91440,91448) = 8

We will now calculate the prime factors of 91440 and 91448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91440 and 91448.

How to find the GCF of 91440 and 91448?

We will first find the prime factorization of 91440 and 91448. After we will calculate the factors of 91440 and 91448 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 91448

Prime factors of 91448 are 2, 7, 23, 71. Prime factorization of 91448 in exponential form is:

91448 = 2³ × 7¹ × 23¹ × 71¹

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 91448

List of positive integer factors of 91448 that divides 91440 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 71, 92, 142, 161, 184, 284, 322, 497, 568, 644, 994, 1288, 1633, 1988, 3266, 3976, 6532, 11431, 13064, 22862, 45724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91440 and 91448. The biggest common factor number is the GCF number.
So the greatest common factor 91440 and 91448 is 8.

Also check out the Least Common Multiple of 91440 and 91448