What is the Greatest Common Factor of 40392 and 40407?

Greatest common factor (GCF) of 40392 and 40407 is 3.

GCF(40392,40407) = 3

We will now calculate the prime factors of 40392 and 40407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40392 and 40407.

How to find the GCF of 40392 and 40407?

We will first find the prime factorization of 40392 and 40407. After we will calculate the factors of 40392 and 40407 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 40407

Prime factors of 40407 are 3, 13469. Prime factorization of 40407 in exponential form is:

40407 = 3¹ × 13469¹

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 40407

List of positive integer factors of 40407 that divides 40392 without a remainder.

1, 3, 13469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40392 and 40407. The biggest common factor number is the GCF number.
So the greatest common factor 40392 and 40407 is 3.

Also check out the Least Common Multiple of 40392 and 40407