What is the Greatest Common Factor of 38368 and 38377?

Greatest common factor (GCF) of 38368 and 38377 is 1.

GCF(38368,38377) = 1

We will now calculate the prime factors of 38368 and 38377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38368 and 38377.

How to find the GCF of 38368 and 38377?

We will first find the prime factorization of 38368 and 38377. After we will calculate the factors of 38368 and 38377 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 38377

Prime factors of 38377 are 38377. Prime factorization of 38377 in exponential form is:

38377 = 38377¹

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 38377

List of positive integer factors of 38377 that divides 38368 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38368 and 38377. The biggest common factor number is the GCF number.
So the greatest common factor 38368 and 38377 is 1.

Also check out the Least Common Multiple of 38368 and 38377