What is the Greatest Common Factor of 40409 and 40416?

Greatest common factor (GCF) of 40409 and 40416 is 1.

GCF(40409,40416) = 1

We will now calculate the prime factors of 40409 and 40416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40409 and 40416.

How to find the GCF of 40409 and 40416?

We will first find the prime factorization of 40409 and 40416. After we will calculate the factors of 40409 and 40416 and find the biggest common factor number .

Step-1: Prime Factorization of 40409

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

40409 = 17¹ × 2377¹

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 40409

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

1, 17, 2377

Step-4: Factors of 40416

List of positive integer factors of 40416 that divides 40409 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 40409 and 40416. The biggest common factor number is the GCF number.
So the greatest common factor 40409 and 40416 is 1.

Also check out the Least Common Multiple of 40409 and 40416