What is the Greatest Common Factor of 38190 and 38195?

Greatest common factor (GCF) of 38190 and 38195 is 5.

GCF(38190,38195) = 5

We will now calculate the prime factors of 38190 and 38195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38190 and 38195.

How to find the GCF of 38190 and 38195?

We will first find the prime factorization of 38190 and 38195. After we will calculate the factors of 38190 and 38195 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38195

Prime factors of 38195 are 5, 7639. Prime factorization of 38195 in exponential form is:

38195 = 5¹ × 7639¹

Step-3: Factors of 38190

List of positive integer factors of 38190 that divides 38190 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

Step-4: Factors of 38195

List of positive integer factors of 38195 that divides 38190 without a remainder.

1, 5, 7639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38190 and 38195. The biggest common factor number is the GCF number.
So the greatest common factor 38190 and 38195 is 5.

Also check out the Least Common Multiple of 38190 and 38195