What is the Greatest Common Factor of 38364 and 38368?

Greatest common factor (GCF) of 38364 and 38368 is 4.

GCF(38364,38368) = 4

We will now calculate the prime factors of 38364 and 38368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38364 and 38368.

How to find the GCF of 38364 and 38368?

We will first find the prime factorization of 38364 and 38368. After we will calculate the factors of 38364 and 38368 and find the biggest common factor number .

Step-1: Prime Factorization of 38364

Prime factors of 38364 are 2, 3, 23, 139. Prime factorization of 38364 in exponential form is:

38364 = 2² × 3¹ × 23¹ × 139¹

Step-2: 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-3: Factors of 38364

List of positive integer factors of 38364 that divides 38364 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 139, 276, 278, 417, 556, 834, 1668, 3197, 6394, 9591, 12788, 19182

Step-4: Factors of 38368

List of positive integer factors of 38368 that divides 38364 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38364 and 38368. The biggest common factor number is the GCF number.
So the greatest common factor 38364 and 38368 is 4.

Also check out the Least Common Multiple of 38364 and 38368