What is the Greatest Common Factor of 40320 and 40333?

Greatest common factor (GCF) of 40320 and 40333 is 1.

GCF(40320,40333) = 1

We will now calculate the prime factors of 40320 and 40333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40320 and 40333.

How to find the GCF of 40320 and 40333?

We will first find the prime factorization of 40320 and 40333. After we will calculate the factors of 40320 and 40333 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 40333

Prime factors of 40333 are 53, 761. Prime factorization of 40333 in exponential form is:

40333 = 53¹ × 761¹

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 40333

List of positive integer factors of 40333 that divides 40320 without a remainder.

1, 53, 761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40320 and 40333. The biggest common factor number is the GCF number.
So the greatest common factor 40320 and 40333 is 1.

Also check out the Least Common Multiple of 40320 and 40333