What is the Greatest Common Factor of 38364 and 38372?

Greatest common factor (GCF) of 38364 and 38372 is 4.

GCF(38364,38372) = 4

We will now calculate the prime factors of 38364 and 38372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38364 and 38372.

How to find the GCF of 38364 and 38372?

We will first find the prime factorization of 38364 and 38372. After we will calculate the factors of 38364 and 38372 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 38372

Prime factors of 38372 are 2, 53, 181. Prime factorization of 38372 in exponential form is:

38372 = 2² × 53¹ × 181¹

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 38372

List of positive integer factors of 38372 that divides 38364 without a remainder.

1, 2, 4, 53, 106, 181, 212, 362, 724, 9593, 19186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38364 and 38372. The biggest common factor number is the GCF number.
So the greatest common factor 38364 and 38372 is 4.

Also check out the Least Common Multiple of 38364 and 38372