What is the Greatest Common Factor of 38368 and 38381?

Greatest common factor (GCF) of 38368 and 38381 is 1.

GCF(38368,38381) = 1

We will now calculate the prime factors of 38368 and 38381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38368 and 38381.

How to find the GCF of 38368 and 38381?

We will first find the prime factorization of 38368 and 38381. After we will calculate the factors of 38368 and 38381 and find the biggest common factor number .

Step-1: Prime Factorization of 38368

Prime factors of 38368 are 2, 11, 109. Prime factorization of 38368 in exponential form is:

38368 = 2⁵ × 11¹ × 109¹

Step-2: Prime Factorization of 38381

Prime factors of 38381 are 7, 5483. Prime factorization of 38381 in exponential form is:

38381 = 7¹ × 5483¹

Step-3: Factors of 38368

List of positive integer factors of 38368 that divides 38368 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 109, 176, 218, 352, 436, 872, 1199, 1744, 2398, 3488, 4796, 9592, 19184

Step-4: Factors of 38381

List of positive integer factors of 38381 that divides 38368 without a remainder.

1, 7, 5483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38368 and 38381. The biggest common factor number is the GCF number.
So the greatest common factor 38368 and 38381 is 1.

Also check out the Least Common Multiple of 38368 and 38381