What is the Greatest Common Factor of 34404 and 34409?

Greatest common factor (GCF) of 34404 and 34409 is 1.

GCF(34404,34409) = 1

We will now calculate the prime factors of 34404 and 34409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34404 and 34409.

How to find the GCF of 34404 and 34409?

We will first find the prime factorization of 34404 and 34409. After we will calculate the factors of 34404 and 34409 and find the biggest common factor number .

Step-1: Prime Factorization of 34404

Prime factors of 34404 are 2, 3, 47, 61. Prime factorization of 34404 in exponential form is:

34404 = 2² × 3¹ × 47¹ × 61¹

Step-2: Prime Factorization of 34409

Prime factors of 34409 are 19, 1811. Prime factorization of 34409 in exponential form is:

34409 = 19¹ × 1811¹

Step-3: Factors of 34404

List of positive integer factors of 34404 that divides 34404 without a remainder.

1, 2, 3, 4, 6, 12, 47, 61, 94, 122, 141, 183, 188, 244, 282, 366, 564, 732, 2867, 5734, 8601, 11468, 17202

Step-4: Factors of 34409

List of positive integer factors of 34409 that divides 34404 without a remainder.

1, 19, 1811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34404 and 34409. The biggest common factor number is the GCF number.
So the greatest common factor 34404 and 34409 is 1.

Also check out the Least Common Multiple of 34404 and 34409