What is the Greatest Common Factor of 40416 and 40422?

Greatest common factor (GCF) of 40416 and 40422 is 6.

GCF(40416,40422) = 6

We will now calculate the prime factors of 40416 and 40422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40416 and 40422.

How to find the GCF of 40416 and 40422?

We will first find the prime factorization of 40416 and 40422. After we will calculate the factors of 40416 and 40422 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40422

Prime factors of 40422 are 2, 3, 6737. Prime factorization of 40422 in exponential form is:

40422 = 2¹ × 3¹ × 6737¹

Step-3: Factors of 40416

List of positive integer factors of 40416 that divides 40416 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

Step-4: Factors of 40422

List of positive integer factors of 40422 that divides 40416 without a remainder.

1, 2, 3, 6, 6737, 13474, 20211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40416 and 40422. The biggest common factor number is the GCF number.
So the greatest common factor 40416 and 40422 is 6.

Also check out the Least Common Multiple of 40416 and 40422