What is the Greatest Common Factor of 36404 and 36409?

Greatest common factor (GCF) of 36404 and 36409 is 1.

GCF(36404,36409) = 1

We will now calculate the prime factors of 36404 and 36409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36404 and 36409.

How to find the GCF of 36404 and 36409?

We will first find the prime factorization of 36404 and 36409. After we will calculate the factors of 36404 and 36409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36409

Prime factors of 36409 are 23, 1583. Prime factorization of 36409 in exponential form is:

36409 = 23¹ × 1583¹

Step-3: Factors of 36404

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

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

Step-4: Factors of 36409

List of positive integer factors of 36409 that divides 36404 without a remainder.

1, 23, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36404 and 36409. The biggest common factor number is the GCF number.
So the greatest common factor 36404 and 36409 is 1.

Also check out the Least Common Multiple of 36404 and 36409