What is the Greatest Common Factor of 38407 and 38412?

Greatest common factor (GCF) of 38407 and 38412 is 1.

GCF(38407,38412) = 1

We will now calculate the prime factors of 38407 and 38412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38407 and 38412.

How to find the GCF of 38407 and 38412?

We will first find the prime factorization of 38407 and 38412. After we will calculate the factors of 38407 and 38412 and find the biggest common factor number .

Step-1: Prime Factorization of 38407

Prime factors of 38407 are 193, 199. Prime factorization of 38407 in exponential form is:

38407 = 193¹ × 199¹

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 38407

List of positive integer factors of 38407 that divides 38407 without a remainder.

1, 193, 199

Step-4: Factors of 38412

List of positive integer factors of 38412 that divides 38407 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 38407 and 38412. The biggest common factor number is the GCF number.
So the greatest common factor 38407 and 38412 is 1.

Also check out the Least Common Multiple of 38407 and 38412