What is the Greatest Common Factor of 73424 and 73440?

Greatest common factor (GCF) of 73424 and 73440 is 16.

GCF(73424,73440) = 16

We will now calculate the prime factors of 73424 and 73440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73424 and 73440.

How to find the GCF of 73424 and 73440?

We will first find the prime factorization of 73424 and 73440. After we will calculate the factors of 73424 and 73440 and find the biggest common factor number .

Step-1: Prime Factorization of 73424

Prime factors of 73424 are 2, 13, 353. Prime factorization of 73424 in exponential form is:

73424 = 2⁴ × 13¹ × 353¹

Step-2: 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-3: Factors of 73424

List of positive integer factors of 73424 that divides 73424 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 353, 706, 1412, 2824, 4589, 5648, 9178, 18356, 36712

Step-4: Factors of 73440

List of positive integer factors of 73440 that divides 73424 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73424 and 73440. The biggest common factor number is the GCF number.
So the greatest common factor 73424 and 73440 is 16.

Also check out the Least Common Multiple of 73424 and 73440