What is the Greatest Common Factor of 40382 and 40398?

Greatest common factor (GCF) of 40382 and 40398 is 2.

GCF(40382,40398) = 2

We will now calculate the prime factors of 40382 and 40398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40382 and 40398.

How to find the GCF of 40382 and 40398?

We will first find the prime factorization of 40382 and 40398. After we will calculate the factors of 40382 and 40398 and find the biggest common factor number .

Step-1: Prime Factorization of 40382

Prime factors of 40382 are 2, 61, 331. Prime factorization of 40382 in exponential form is:

40382 = 2¹ × 61¹ × 331¹

Step-2: Prime Factorization of 40398

Prime factors of 40398 are 2, 3, 6733. Prime factorization of 40398 in exponential form is:

40398 = 2¹ × 3¹ × 6733¹

Step-3: Factors of 40382

List of positive integer factors of 40382 that divides 40382 without a remainder.

1, 2, 61, 122, 331, 662, 20191

Step-4: Factors of 40398

List of positive integer factors of 40398 that divides 40382 without a remainder.

1, 2, 3, 6, 6733, 13466, 20199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40382 and 40398. The biggest common factor number is the GCF number.
So the greatest common factor 40382 and 40398 is 2.

Also check out the Least Common Multiple of 40382 and 40398