What is the Greatest Common Factor of 40320 and 40329?

Greatest common factor (GCF) of 40320 and 40329 is 9.

GCF(40320,40329) = 9

We will now calculate the prime factors of 40320 and 40329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40320 and 40329.

How to find the GCF of 40320 and 40329?

We will first find the prime factorization of 40320 and 40329. After we will calculate the factors of 40320 and 40329 and find the biggest common factor number .

Step-1: Prime Factorization of 40320

Prime factors of 40320 are 2, 3, 5, 7. Prime factorization of 40320 in exponential form is:

40320 = 2⁷ × 3² × 5¹ × 7¹

Step-2: Prime Factorization of 40329

Prime factors of 40329 are 3, 4481. Prime factorization of 40329 in exponential form is:

40329 = 3² × 4481¹

Step-3: Factors of 40320

List of positive integer factors of 40320 that divides 40320 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 64, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 128, 140, 144, 160, 168, 180, 192, 210, 224, 240, 252, 280, 288, 315, 320, 336, 360, 384, 420, 448, 480, 504, 560, 576, 630, 640, 672, 720, 840, 896, 960, 1008, 1120, 1152, 1260, 1344, 1440, 1680, 1920, 2016, 2240, 2520, 2688, 2880, 3360, 4032, 4480, 5040, 5760, 6720, 8064, 10080, 13440, 20160

Step-4: Factors of 40329

List of positive integer factors of 40329 that divides 40320 without a remainder.

1, 3, 9, 4481, 13443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40320 and 40329. The biggest common factor number is the GCF number.
So the greatest common factor 40320 and 40329 is 9.

Also check out the Least Common Multiple of 40320 and 40329