Question

hcf of 40,320 by using EDL​

Answer 1

Answer:

1. 373737383841739086628900987636837373737

Answer 2

Answer:

We will first find the prime factorization of 40315 and 40320. After we will calculate the factors of 40315 and 40320 and find the biggest common factor number .

Step-1: Prime Factorization of 40315

Prime factors of 40315 are 5, 11, 733. Prime factorization of 40315 in exponential form is:

40315 = 51 × 111 × 7331

Step-2: 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-3: Factors of 40315

List of positive integer factors of 40315 that divides 40315 without a remainder.

1, 5, 11, 55, 733, 3665, 8063

Step-4: Factors of 40320

List of positive integer factors of 40320 that divides 40315 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

Final Step: Greatest Common Factor Number

We found the factors and prime factorization of 40315 and 40320. The biggest common factor number is the GCF number.

So the greatest common factor 40315 and 40320 is 5.

I hope it may helps to you