What is the Greatest Common Factor of 48374 and 48393?

Greatest common factor (GCF) of 48374 and 48393 is 19.

GCF(48374,48393) = 19

We will now calculate the prime factors of 48374 and 48393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48374 and 48393.

How to find the GCF of 48374 and 48393?

We will first find the prime factorization of 48374 and 48393. After we will calculate the factors of 48374 and 48393 and find the biggest common factor number .

Step-1: Prime Factorization of 48374

Prime factors of 48374 are 2, 19, 67. Prime factorization of 48374 in exponential form is:

48374 = 2¹ × 19² × 67¹

Step-2: 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-3: Factors of 48374

List of positive integer factors of 48374 that divides 48374 without a remainder.

1, 2, 19, 38, 67, 134, 361, 722, 1273, 2546, 24187

Step-4: Factors of 48393

List of positive integer factors of 48393 that divides 48374 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48374 and 48393. The biggest common factor number is the GCF number.
So the greatest common factor 48374 and 48393 is 19.

Also check out the Least Common Multiple of 48374 and 48393