What is the Greatest Common Factor of 38368 and 38378?

Greatest common factor (GCF) of 38368 and 38378 is 2.

GCF(38368,38378) = 2

We will now calculate the prime factors of 38368 and 38378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38368 and 38378.

How to find the GCF of 38368 and 38378?

We will first find the prime factorization of 38368 and 38378. After we will calculate the factors of 38368 and 38378 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 38378

Prime factors of 38378 are 2, 31, 619. Prime factorization of 38378 in exponential form is:

38378 = 2¹ × 31¹ × 619¹

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 38378

List of positive integer factors of 38378 that divides 38368 without a remainder.

1, 2, 31, 62, 619, 1238, 19189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38368 and 38378. The biggest common factor number is the GCF number.
So the greatest common factor 38368 and 38378 is 2.

Also check out the Least Common Multiple of 38368 and 38378