What is the Greatest Common Factor of 40330 and 40336?

Greatest common factor (GCF) of 40330 and 40336 is 2.

GCF(40330,40336) = 2

We will now calculate the prime factors of 40330 and 40336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40330 and 40336.

How to find the GCF of 40330 and 40336?

We will first find the prime factorization of 40330 and 40336. After we will calculate the factors of 40330 and 40336 and find the biggest common factor number .

Step-1: Prime Factorization of 40330

Prime factors of 40330 are 2, 5, 37, 109. Prime factorization of 40330 in exponential form is:

40330 = 2¹ × 5¹ × 37¹ × 109¹

Step-2: Prime Factorization of 40336

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

40336 = 2⁴ × 2521¹

Step-3: Factors of 40330

List of positive integer factors of 40330 that divides 40330 without a remainder.

1, 2, 5, 10, 37, 74, 109, 185, 218, 370, 545, 1090, 4033, 8066, 20165

Step-4: Factors of 40336

List of positive integer factors of 40336 that divides 40330 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40330 and 40336. The biggest common factor number is the GCF number.
So the greatest common factor 40330 and 40336 is 2.

Also check out the Least Common Multiple of 40330 and 40336