What is the Greatest Common Factor of 48393 and 48412?

Greatest common factor (GCF) of 48393 and 48412 is 19.

GCF(48393,48412) = 19

We will now calculate the prime factors of 48393 and 48412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48393 and 48412.

How to find the GCF of 48393 and 48412?

We will first find the prime factorization of 48393 and 48412. After we will calculate the factors of 48393 and 48412 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 48412

Prime factors of 48412 are 2, 7, 13, 19. Prime factorization of 48412 in exponential form is:

48412 = 2² × 7² × 13¹ × 19¹

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 48412

List of positive integer factors of 48412 that divides 48393 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 49, 52, 76, 91, 98, 133, 182, 196, 247, 266, 364, 494, 532, 637, 931, 988, 1274, 1729, 1862, 2548, 3458, 3724, 6916, 12103, 24206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48393 and 48412. The biggest common factor number is the GCF number.
So the greatest common factor 48393 and 48412 is 19.

Also check out the Least Common Multiple of 48393 and 48412