What is the Greatest Common Factor of 23409 and 23416?

Greatest common factor (GCF) of 23409 and 23416 is 1.

GCF(23409,23416) = 1

We will now calculate the prime factors of 23409 and 23416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23409 and 23416.

How to find the GCF of 23409 and 23416?

We will first find the prime factorization of 23409 and 23416. After we will calculate the factors of 23409 and 23416 and find the biggest common factor number .

Step-1: Prime Factorization of 23409

Prime factors of 23409 are 3, 17. Prime factorization of 23409 in exponential form is:

23409 = 3⁴ × 17²

Step-2: Prime Factorization of 23416

Prime factors of 23416 are 2, 2927. Prime factorization of 23416 in exponential form is:

23416 = 2³ × 2927¹

Step-3: Factors of 23409

List of positive integer factors of 23409 that divides 23409 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 289, 459, 867, 1377, 2601, 7803

Step-4: Factors of 23416

List of positive integer factors of 23416 that divides 23409 without a remainder.

1, 2, 4, 8, 2927, 5854, 11708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23409 and 23416. The biggest common factor number is the GCF number.
So the greatest common factor 23409 and 23416 is 1.

Also check out the Least Common Multiple of 23409 and 23416