What is the Greatest Common Factor of 73440 and 73448?

Greatest common factor (GCF) of 73440 and 73448 is 8.

GCF(73440,73448) = 8

We will now calculate the prime factors of 73440 and 73448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73440 and 73448.

How to find the GCF of 73440 and 73448?

We will first find the prime factorization of 73440 and 73448. After we will calculate the factors of 73440 and 73448 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 73448

Prime factors of 73448 are 2, 9181. Prime factorization of 73448 in exponential form is:

73448 = 2³ × 9181¹

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 73448

List of positive integer factors of 73448 that divides 73440 without a remainder.

1, 2, 4, 8, 9181, 18362, 36724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73440 and 73448. The biggest common factor number is the GCF number.
So the greatest common factor 73440 and 73448 is 8.

Also check out the Least Common Multiple of 73440 and 73448