What is the Greatest Common Factor of 22404 and 22409?

Greatest common factor (GCF) of 22404 and 22409 is 1.

GCF(22404,22409) = 1

We will now calculate the prime factors of 22404 and 22409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22404 and 22409.

How to find the GCF of 22404 and 22409?

We will first find the prime factorization of 22404 and 22409. After we will calculate the factors of 22404 and 22409 and find the biggest common factor number .

Step-1: Prime Factorization of 22404

Prime factors of 22404 are 2, 3, 1867. Prime factorization of 22404 in exponential form is:

22404 = 2² × 3¹ × 1867¹

Step-2: Prime Factorization of 22409

Prime factors of 22409 are 22409. Prime factorization of 22409 in exponential form is:

22409 = 22409¹

Step-3: Factors of 22404

List of positive integer factors of 22404 that divides 22404 without a remainder.

1, 2, 3, 4, 6, 12, 1867, 3734, 5601, 7468, 11202

Step-4: Factors of 22409

List of positive integer factors of 22409 that divides 22404 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22404 and 22409. The biggest common factor number is the GCF number.
So the greatest common factor 22404 and 22409 is 1.

Also check out the Least Common Multiple of 22404 and 22409