What is the Greatest Common Factor of 38170 and 38189?

Greatest common factor (GCF) of 38170 and 38189 is 1.

GCF(38170,38189) = 1

We will now calculate the prime factors of 38170 and 38189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38170 and 38189.

How to find the GCF of 38170 and 38189?

We will first find the prime factorization of 38170 and 38189. After we will calculate the factors of 38170 and 38189 and find the biggest common factor number .

Step-1: Prime Factorization of 38170

Prime factors of 38170 are 2, 5, 11, 347. Prime factorization of 38170 in exponential form is:

38170 = 2¹ × 5¹ × 11¹ × 347¹

Step-2: Prime Factorization of 38189

Prime factors of 38189 are 38189. Prime factorization of 38189 in exponential form is:

38189 = 38189¹

Step-3: Factors of 38170

List of positive integer factors of 38170 that divides 38170 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 347, 694, 1735, 3470, 3817, 7634, 19085

Step-4: Factors of 38189

List of positive integer factors of 38189 that divides 38170 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38170 and 38189. The biggest common factor number is the GCF number.
So the greatest common factor 38170 and 38189 is 1.

Also check out the Least Common Multiple of 38170 and 38189