What is the Greatest Common Factor of 38171 and 38190?

Greatest common factor (GCF) of 38171 and 38190 is 19.

GCF(38171,38190) = 19

We will now calculate the prime factors of 38171 and 38190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38171 and 38190.

How to find the GCF of 38171 and 38190?

We will first find the prime factorization of 38171 and 38190. After we will calculate the factors of 38171 and 38190 and find the biggest common factor number .

Step-1: Prime Factorization of 38171

Prime factors of 38171 are 7, 19, 41. Prime factorization of 38171 in exponential form is:

38171 = 7² × 19¹ × 41¹

Step-2: Prime Factorization of 38190

Prime factors of 38190 are 2, 3, 5, 19, 67. Prime factorization of 38190 in exponential form is:

38190 = 2¹ × 3¹ × 5¹ × 19¹ × 67¹

Step-3: Factors of 38171

List of positive integer factors of 38171 that divides 38171 without a remainder.

1, 7, 19, 41, 49, 133, 287, 779, 931, 2009, 5453

Step-4: Factors of 38190

List of positive integer factors of 38190 that divides 38171 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 67, 95, 114, 134, 190, 201, 285, 335, 402, 570, 670, 1005, 1273, 2010, 2546, 3819, 6365, 7638, 12730, 19095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38171 and 38190. The biggest common factor number is the GCF number.
So the greatest common factor 38171 and 38190 is 19.

Also check out the Least Common Multiple of 38171 and 38190