What is the Greatest Common Factor of 36398 and 36404?

Greatest common factor (GCF) of 36398 and 36404 is 2.

GCF(36398,36404) = 2

We will now calculate the prime factors of 36398 and 36404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36398 and 36404.

How to find the GCF of 36398 and 36404?

We will first find the prime factorization of 36398 and 36404. After we will calculate the factors of 36398 and 36404 and find the biggest common factor number .

Step-1: Prime Factorization of 36398

Prime factors of 36398 are 2, 18199. Prime factorization of 36398 in exponential form is:

36398 = 2¹ × 18199¹

Step-2: Prime Factorization of 36404

Prime factors of 36404 are 2, 19, 479. Prime factorization of 36404 in exponential form is:

36404 = 2² × 19¹ × 479¹

Step-3: Factors of 36398

List of positive integer factors of 36398 that divides 36398 without a remainder.

1, 2, 18199

Step-4: Factors of 36404

List of positive integer factors of 36404 that divides 36398 without a remainder.

1, 2, 4, 19, 38, 76, 479, 958, 1916, 9101, 18202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36398 and 36404. The biggest common factor number is the GCF number.
So the greatest common factor 36398 and 36404 is 2.

Also check out the Least Common Multiple of 36398 and 36404