What is the Greatest Common Factor of 38376 and 38389?

Greatest common factor (GCF) of 38376 and 38389 is 13.

GCF(38376,38389) = 13

We will now calculate the prime factors of 38376 and 38389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38376 and 38389.

How to find the GCF of 38376 and 38389?

We will first find the prime factorization of 38376 and 38389. After we will calculate the factors of 38376 and 38389 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38389

Prime factors of 38389 are 13, 2953. Prime factorization of 38389 in exponential form is:

38389 = 13¹ × 2953¹

Step-3: Factors of 38376

List of positive integer factors of 38376 that divides 38376 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

Step-4: Factors of 38389

List of positive integer factors of 38389 that divides 38376 without a remainder.

1, 13, 2953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38376 and 38389. The biggest common factor number is the GCF number.
So the greatest common factor 38376 and 38389 is 13.

Also check out the Least Common Multiple of 38376 and 38389