What is the Greatest Common Factor of 73440 and 73445?

Greatest common factor (GCF) of 73440 and 73445 is 5.

GCF(73440,73445) = 5

We will now calculate the prime factors of 73440 and 73445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73440 and 73445.

How to find the GCF of 73440 and 73445?

We will first find the prime factorization of 73440 and 73445. After we will calculate the factors of 73440 and 73445 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 73445

Prime factors of 73445 are 5, 37, 397. Prime factorization of 73445 in exponential form is:

73445 = 5¹ × 37¹ × 397¹

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 73445

List of positive integer factors of 73445 that divides 73440 without a remainder.

1, 5, 37, 185, 397, 1985, 14689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73440 and 73445. The biggest common factor number is the GCF number.
So the greatest common factor 73440 and 73445 is 5.

Also check out the Least Common Multiple of 73440 and 73445