What is the Greatest Common Factor of 74397 and 74409?

Greatest common factor (GCF) of 74397 and 74409 is 3.

GCF(74397,74409) = 3

We will now calculate the prime factors of 74397 and 74409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74397 and 74409.

How to find the GCF of 74397 and 74409?

We will first find the prime factorization of 74397 and 74409. After we will calculate the factors of 74397 and 74409 and find the biggest common factor number .

Step-1: Prime Factorization of 74397

Prime factors of 74397 are 3, 24799. Prime factorization of 74397 in exponential form is:

74397 = 3¹ × 24799¹

Step-2: 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-3: Factors of 74397

List of positive integer factors of 74397 that divides 74397 without a remainder.

1, 3, 24799

Step-4: Factors of 74409

List of positive integer factors of 74409 that divides 74397 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74397 and 74409. The biggest common factor number is the GCF number.
So the greatest common factor 74397 and 74409 is 3.

Also check out the Least Common Multiple of 74397 and 74409