What is the Greatest Common Factor of 40388 and 40406?

Greatest common factor (GCF) of 40388 and 40406 is 2.

GCF(40388,40406) = 2

We will now calculate the prime factors of 40388 and 40406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40388 and 40406.

How to find the GCF of 40388 and 40406?

We will first find the prime factorization of 40388 and 40406. After we will calculate the factors of 40388 and 40406 and find the biggest common factor number .

Step-1: Prime Factorization of 40388

Prime factors of 40388 are 2, 23, 439. Prime factorization of 40388 in exponential form is:

40388 = 2² × 23¹ × 439¹

Step-2: Prime Factorization of 40406

Prime factors of 40406 are 2, 89, 227. Prime factorization of 40406 in exponential form is:

40406 = 2¹ × 89¹ × 227¹

Step-3: Factors of 40388

List of positive integer factors of 40388 that divides 40388 without a remainder.

1, 2, 4, 23, 46, 92, 439, 878, 1756, 10097, 20194

Step-4: Factors of 40406

List of positive integer factors of 40406 that divides 40388 without a remainder.

1, 2, 89, 178, 227, 454, 20203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40388 and 40406. The biggest common factor number is the GCF number.
So the greatest common factor 40388 and 40406 is 2.

Also check out the Least Common Multiple of 40388 and 40406