What is the Greatest Common Factor of 91440 and 91460?

Greatest common factor (GCF) of 91440 and 91460 is 20.

GCF(91440,91460) = 20

We will now calculate the prime factors of 91440 and 91460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91440 and 91460.

How to find the GCF of 91440 and 91460?

We will first find the prime factorization of 91440 and 91460. After we will calculate the factors of 91440 and 91460 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 91460

Prime factors of 91460 are 2, 5, 17, 269. Prime factorization of 91460 in exponential form is:

91460 = 2² × 5¹ × 17¹ × 269¹

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 91460

List of positive integer factors of 91460 that divides 91440 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 269, 340, 538, 1076, 1345, 2690, 4573, 5380, 9146, 18292, 22865, 45730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91440 and 91460. The biggest common factor number is the GCF number.
So the greatest common factor 91440 and 91460 is 20.

Also check out the Least Common Multiple of 91440 and 91460