What is the Greatest Common Factor of 40320 and 40330?

Greatest common factor (GCF) of 40320 and 40330 is 10.

GCF(40320,40330) = 10

We will now calculate the prime factors of 40320 and 40330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40320 and 40330.

How to find the GCF of 40320 and 40330?

We will first find the prime factorization of 40320 and 40330. After we will calculate the factors of 40320 and 40330 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 40330

Prime factors of 40330 are 2, 5, 37, 109. Prime factorization of 40330 in exponential form is:

40330 = 2¹ × 5¹ × 37¹ × 109¹

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 40330

List of positive integer factors of 40330 that divides 40320 without a remainder.

1, 2, 5, 10, 37, 74, 109, 185, 218, 370, 545, 1090, 4033, 8066, 20165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40320 and 40330. The biggest common factor number is the GCF number.
So the greatest common factor 40320 and 40330 is 10.

Also check out the Least Common Multiple of 40320 and 40330