What is the Greatest Common Factor of 74409 and 74415?

Greatest common factor (GCF) of 74409 and 74415 is 3.

GCF(74409,74415) = 3

We will now calculate the prime factors of 74409 and 74415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74409 and 74415.

How to find the GCF of 74409 and 74415?

We will first find the prime factorization of 74409 and 74415. After we will calculate the factors of 74409 and 74415 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 74415

Prime factors of 74415 are 3, 5, 11, 41. Prime factorization of 74415 in exponential form is:

74415 = 3¹ × 5¹ × 11² × 41¹

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 74415

List of positive integer factors of 74415 that divides 74409 without a remainder.

1, 3, 5, 11, 15, 33, 41, 55, 121, 123, 165, 205, 363, 451, 605, 615, 1353, 1815, 2255, 4961, 6765, 14883, 24805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74409 and 74415. The biggest common factor number is the GCF number.
So the greatest common factor 74409 and 74415 is 3.

Also check out the Least Common Multiple of 74409 and 74415