What is the Greatest Common Factor of 40320 and 40335?

Greatest common factor (GCF) of 40320 and 40335 is 15.

GCF(40320,40335) = 15

We will now calculate the prime factors of 40320 and 40335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40320 and 40335.

How to find the GCF of 40320 and 40335?

We will first find the prime factorization of 40320 and 40335. After we will calculate the factors of 40320 and 40335 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 40335

Prime factors of 40335 are 3, 5, 2689. Prime factorization of 40335 in exponential form is:

40335 = 3¹ × 5¹ × 2689¹

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 40335

List of positive integer factors of 40335 that divides 40320 without a remainder.

1, 3, 5, 15, 2689, 8067, 13445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40320 and 40335. The biggest common factor number is the GCF number.
So the greatest common factor 40320 and 40335 is 15.

Also check out the Least Common Multiple of 40320 and 40335