What is the Greatest Common Factor of 40398 and 40416?

Greatest common factor (GCF) of 40398 and 40416 is 6.

GCF(40398,40416) = 6

We will now calculate the prime factors of 40398 and 40416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40398 and 40416.

How to find the GCF of 40398 and 40416?

We will first find the prime factorization of 40398 and 40416. After we will calculate the factors of 40398 and 40416 and find the biggest common factor number .

Step-1: Prime Factorization of 40398

Prime factors of 40398 are 2, 3, 6733. Prime factorization of 40398 in exponential form is:

40398 = 2¹ × 3¹ × 6733¹

Step-2: Prime Factorization of 40416

Prime factors of 40416 are 2, 3, 421. Prime factorization of 40416 in exponential form is:

40416 = 2⁵ × 3¹ × 421¹

Step-3: Factors of 40398

List of positive integer factors of 40398 that divides 40398 without a remainder.

1, 2, 3, 6, 6733, 13466, 20199

Step-4: Factors of 40416

List of positive integer factors of 40416 that divides 40398 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 421, 842, 1263, 1684, 2526, 3368, 5052, 6736, 10104, 13472, 20208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40398 and 40416. The biggest common factor number is the GCF number.
So the greatest common factor 40398 and 40416 is 6.

Also check out the Least Common Multiple of 40398 and 40416