What is the Greatest Common Factor of 48393 and 48397?

Greatest common factor (GCF) of 48393 and 48397 is 1.

GCF(48393,48397) = 1

We will now calculate the prime factors of 48393 and 48397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48393 and 48397.

How to find the GCF of 48393 and 48397?

We will first find the prime factorization of 48393 and 48397. After we will calculate the factors of 48393 and 48397 and find the biggest common factor number .

Step-1: Prime Factorization of 48393

Prime factors of 48393 are 3, 19, 283. Prime factorization of 48393 in exponential form is:

48393 = 3² × 19¹ × 283¹

Step-2: Prime Factorization of 48397

Prime factors of 48397 are 48397. Prime factorization of 48397 in exponential form is:

48397 = 48397¹

Step-3: Factors of 48393

List of positive integer factors of 48393 that divides 48393 without a remainder.

1, 3, 9, 19, 57, 171, 283, 849, 2547, 5377, 16131

Step-4: Factors of 48397

List of positive integer factors of 48397 that divides 48393 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48393 and 48397. The biggest common factor number is the GCF number.
So the greatest common factor 48393 and 48397 is 1.

Also check out the Least Common Multiple of 48393 and 48397