What is the Greatest Common Factor of 38407 and 38427?

Greatest common factor (GCF) of 38407 and 38427 is 1.

GCF(38407,38427) = 1

We will now calculate the prime factors of 38407 and 38427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38407 and 38427.

How to find the GCF of 38407 and 38427?

We will first find the prime factorization of 38407 and 38427. After we will calculate the factors of 38407 and 38427 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 38427

Prime factors of 38427 are 3, 12809. Prime factorization of 38427 in exponential form is:

38427 = 3¹ × 12809¹

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 38427

List of positive integer factors of 38427 that divides 38407 without a remainder.

1, 3, 12809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38407 and 38427. The biggest common factor number is the GCF number.
So the greatest common factor 38407 and 38427 is 1.

Also check out the Least Common Multiple of 38407 and 38427