What is the Greatest Common Factor of 40320 and 40327?

Greatest common factor (GCF) of 40320 and 40327 is 7.

GCF(40320,40327) = 7

We will now calculate the prime factors of 40320 and 40327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40320 and 40327.

How to find the GCF of 40320 and 40327?

We will first find the prime factorization of 40320 and 40327. After we will calculate the factors of 40320 and 40327 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 40327

Prime factors of 40327 are 7, 823. Prime factorization of 40327 in exponential form is:

40327 = 7² × 823¹

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 40327

List of positive integer factors of 40327 that divides 40320 without a remainder.

1, 7, 49, 823, 5761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40320 and 40327. The biggest common factor number is the GCF number.
So the greatest common factor 40320 and 40327 is 7.

Also check out the Least Common Multiple of 40320 and 40327