What is the Greatest Common Factor of 74391 and 74397?

Greatest common factor (GCF) of 74391 and 74397 is 3.

GCF(74391,74397) = 3

We will now calculate the prime factors of 74391 and 74397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74391 and 74397.

How to find the GCF of 74391 and 74397?

We will first find the prime factorization of 74391 and 74397. After we will calculate the factors of 74391 and 74397 and find the biggest common factor number .

Step-1: Prime Factorization of 74391

Prime factors of 74391 are 3, 137, 181. Prime factorization of 74391 in exponential form is:

74391 = 3¹ × 137¹ × 181¹

Step-2: Prime Factorization of 74397

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

74397 = 3¹ × 24799¹

Step-3: Factors of 74391

List of positive integer factors of 74391 that divides 74391 without a remainder.

1, 3, 137, 181, 411, 543, 24797

Step-4: Factors of 74397

List of positive integer factors of 74397 that divides 74391 without a remainder.

1, 3, 24799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74391 and 74397. The biggest common factor number is the GCF number.
So the greatest common factor 74391 and 74397 is 3.

Also check out the Least Common Multiple of 74391 and 74397