What is the Greatest Common Factor of 40336 and 40340?

Greatest common factor (GCF) of 40336 and 40340 is 4.

GCF(40336,40340) = 4

We will now calculate the prime factors of 40336 and 40340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40336 and 40340.

How to find the GCF of 40336 and 40340?

We will first find the prime factorization of 40336 and 40340. After we will calculate the factors of 40336 and 40340 and find the biggest common factor number .

Step-1: Prime Factorization of 40336

Prime factors of 40336 are 2, 2521. Prime factorization of 40336 in exponential form is:

40336 = 2⁴ × 2521¹

Step-2: Prime Factorization of 40340

Prime factors of 40340 are 2, 5, 2017. Prime factorization of 40340 in exponential form is:

40340 = 2² × 5¹ × 2017¹

Step-3: Factors of 40336

List of positive integer factors of 40336 that divides 40336 without a remainder.

1, 2, 4, 8, 16, 2521, 5042, 10084, 20168

Step-4: Factors of 40340

List of positive integer factors of 40340 that divides 40336 without a remainder.

1, 2, 4, 5, 10, 20, 2017, 4034, 8068, 10085, 20170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40336 and 40340. The biggest common factor number is the GCF number.
So the greatest common factor 40336 and 40340 is 4.

Also check out the Least Common Multiple of 40336 and 40340