What is the Greatest Common Factor of 40392 and 40409?

Greatest common factor (GCF) of 40392 and 40409 is 17.

GCF(40392,40409) = 17

We will now calculate the prime factors of 40392 and 40409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40392 and 40409.

How to find the GCF of 40392 and 40409?

We will first find the prime factorization of 40392 and 40409. After we will calculate the factors of 40392 and 40409 and find the biggest common factor number .

Step-1: Prime Factorization of 40392

Prime factors of 40392 are 2, 3, 11, 17. Prime factorization of 40392 in exponential form is:

40392 = 2³ × 3³ × 11¹ × 17¹

Step-2: Prime Factorization of 40409

Prime factors of 40409 are 17, 2377. Prime factorization of 40409 in exponential form is:

40409 = 17¹ × 2377¹

Step-3: Factors of 40392

List of positive integer factors of 40392 that divides 40392 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 27, 33, 34, 36, 44, 51, 54, 66, 68, 72, 88, 99, 102, 108, 132, 136, 153, 187, 198, 204, 216, 264, 297, 306, 374, 396, 408, 459, 561, 594, 612, 748, 792, 918, 1122, 1188, 1224, 1496, 1683, 1836, 2244, 2376, 3366, 3672, 4488, 5049, 6732, 10098, 13464, 20196

Step-4: Factors of 40409

List of positive integer factors of 40409 that divides 40392 without a remainder.

1, 17, 2377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40392 and 40409. The biggest common factor number is the GCF number.
So the greatest common factor 40392 and 40409 is 17.

Also check out the Least Common Multiple of 40392 and 40409