What is the Greatest Common Factor of 38364 and 38376?

Greatest common factor (GCF) of 38364 and 38376 is 12.

GCF(38364,38376) = 12

We will now calculate the prime factors of 38364 and 38376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38364 and 38376.

How to find the GCF of 38364 and 38376?

We will first find the prime factorization of 38364 and 38376. After we will calculate the factors of 38364 and 38376 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 38376

Prime factors of 38376 are 2, 3, 13, 41. Prime factorization of 38376 in exponential form is:

38376 = 2³ × 3² × 13¹ × 41¹

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 38376

List of positive integer factors of 38376 that divides 38364 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 41, 52, 72, 78, 82, 104, 117, 123, 156, 164, 234, 246, 312, 328, 369, 468, 492, 533, 738, 936, 984, 1066, 1476, 1599, 2132, 2952, 3198, 4264, 4797, 6396, 9594, 12792, 19188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38364 and 38376. The biggest common factor number is the GCF number.
So the greatest common factor 38364 and 38376 is 12.

Also check out the Least Common Multiple of 38364 and 38376