What is the Greatest Common Factor of 38393 and 38412?

Greatest common factor (GCF) of 38393 and 38412 is 1.

GCF(38393,38412) = 1

We will now calculate the prime factors of 38393 and 38412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38393 and 38412.

How to find the GCF of 38393 and 38412?

We will first find the prime factorization of 38393 and 38412. After we will calculate the factors of 38393 and 38412 and find the biggest common factor number .

Step-1: Prime Factorization of 38393

Prime factors of 38393 are 38393. Prime factorization of 38393 in exponential form is:

38393 = 38393¹

Step-2: Prime Factorization of 38412

Prime factors of 38412 are 2, 3, 11, 97. Prime factorization of 38412 in exponential form is:

38412 = 2² × 3² × 11¹ × 97¹

Step-3: Factors of 38393

List of positive integer factors of 38393 that divides 38393 without a remainder.

Step-4: Factors of 38412

List of positive integer factors of 38412 that divides 38393 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 97, 99, 132, 194, 198, 291, 388, 396, 582, 873, 1067, 1164, 1746, 2134, 3201, 3492, 4268, 6402, 9603, 12804, 19206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38393 and 38412. The biggest common factor number is the GCF number.
So the greatest common factor 38393 and 38412 is 1.

Also check out the Least Common Multiple of 38393 and 38412