What is the Greatest Common Factor of 74409 and 74421?

Greatest common factor (GCF) of 74409 and 74421 is 3.

GCF(74409,74421) = 3

We will now calculate the prime factors of 74409 and 74421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74409 and 74421.

How to find the GCF of 74409 and 74421?

We will first find the prime factorization of 74409 and 74421. After we will calculate the factors of 74409 and 74421 and find the biggest common factor number .

Step-1: Prime Factorization of 74409

Prime factors of 74409 are 3, 17, 1459. Prime factorization of 74409 in exponential form is:

74409 = 3¹ × 17¹ × 1459¹

Step-2: Prime Factorization of 74421

Prime factors of 74421 are 3, 8269. Prime factorization of 74421 in exponential form is:

74421 = 3² × 8269¹

Step-3: Factors of 74409

List of positive integer factors of 74409 that divides 74409 without a remainder.

1, 3, 17, 51, 1459, 4377, 24803

Step-4: Factors of 74421

List of positive integer factors of 74421 that divides 74409 without a remainder.

1, 3, 9, 8269, 24807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74409 and 74421. The biggest common factor number is the GCF number.
So the greatest common factor 74409 and 74421 is 3.

Also check out the Least Common Multiple of 74409 and 74421