What is the Greatest Common Factor of 40304 and 40322?

Greatest common factor (GCF) of 40304 and 40322 is 2.

GCF(40304,40322) = 2

We will now calculate the prime factors of 40304 and 40322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40304 and 40322.

How to find the GCF of 40304 and 40322?

We will first find the prime factorization of 40304 and 40322. After we will calculate the factors of 40304 and 40322 and find the biggest common factor number .

Step-1: Prime Factorization of 40304

Prime factors of 40304 are 2, 11, 229. Prime factorization of 40304 in exponential form is:

40304 = 2⁴ × 11¹ × 229¹

Step-2: Prime Factorization of 40322

Prime factors of 40322 are 2, 20161. Prime factorization of 40322 in exponential form is:

40322 = 2¹ × 20161¹

Step-3: Factors of 40304

List of positive integer factors of 40304 that divides 40304 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 229, 458, 916, 1832, 2519, 3664, 5038, 10076, 20152

Step-4: Factors of 40322

List of positive integer factors of 40322 that divides 40304 without a remainder.

1, 2, 20161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40304 and 40322. The biggest common factor number is the GCF number.
So the greatest common factor 40304 and 40322 is 2.

Also check out the Least Common Multiple of 40304 and 40322