What is the Greatest Common Factor of 11409 and 11421?

Greatest common factor (GCF) of 11409 and 11421 is 3.

GCF(11409,11421) = 3

We will now calculate the prime factors of 11409 and 11421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11409 and 11421.

How to find the GCF of 11409 and 11421?

We will first find the prime factorization of 11409 and 11421. After we will calculate the factors of 11409 and 11421 and find the biggest common factor number .

Step-1: Prime Factorization of 11409

Prime factors of 11409 are 3, 3803. Prime factorization of 11409 in exponential form is:

11409 = 3¹ × 3803¹

Step-2: Prime Factorization of 11421

Prime factors of 11421 are 3, 47. Prime factorization of 11421 in exponential form is:

11421 = 3⁵ × 47¹

Step-3: Factors of 11409

List of positive integer factors of 11409 that divides 11409 without a remainder.

1, 3, 3803

Step-4: Factors of 11421

List of positive integer factors of 11421 that divides 11409 without a remainder.

1, 3, 9, 27, 47, 81, 141, 243, 423, 1269, 3807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11409 and 11421. The biggest common factor number is the GCF number.
So the greatest common factor 11409 and 11421 is 3.

Also check out the Least Common Multiple of 11409 and 11421