What is the Greatest Common Factor of 73440 and 73456?

Greatest common factor (GCF) of 73440 and 73456 is 16.

GCF(73440,73456) = 16

We will now calculate the prime factors of 73440 and 73456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73440 and 73456.

How to find the GCF of 73440 and 73456?

We will first find the prime factorization of 73440 and 73456. After we will calculate the factors of 73440 and 73456 and find the biggest common factor number .

Step-1: Prime Factorization of 73440

Prime factors of 73440 are 2, 3, 5, 17. Prime factorization of 73440 in exponential form is:

73440 = 2⁵ × 3³ × 5¹ × 17¹

Step-2: Prime Factorization of 73456

Prime factors of 73456 are 2, 4591. Prime factorization of 73456 in exponential form is:

73456 = 2⁴ × 4591¹

Step-3: Factors of 73440

List of positive integer factors of 73440 that divides 73440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 27, 30, 32, 34, 36, 40, 45, 48, 51, 54, 60, 68, 72, 80, 85, 90, 96, 102, 108, 120, 135, 136, 144, 153, 160, 170, 180, 204, 216, 240, 255, 270, 272, 288, 306, 340, 360, 408, 432, 459, 480, 510, 540, 544, 612, 680, 720, 765, 816, 864, 918, 1020, 1080, 1224, 1360, 1440, 1530, 1632, 1836, 2040, 2160, 2295, 2448, 2720, 3060, 3672, 4080, 4320, 4590, 4896, 6120, 7344, 8160, 9180, 12240, 14688, 18360, 24480, 36720

Step-4: Factors of 73456

List of positive integer factors of 73456 that divides 73440 without a remainder.

1, 2, 4, 8, 16, 4591, 9182, 18364, 36728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73440 and 73456. The biggest common factor number is the GCF number.
So the greatest common factor 73440 and 73456 is 16.

Also check out the Least Common Multiple of 73440 and 73456