What is the Greatest Common Factor of 38181 and 38189?

Greatest common factor (GCF) of 38181 and 38189 is 1.

GCF(38181,38189) = 1

We will now calculate the prime factors of 38181 and 38189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38181 and 38189.

How to find the GCF of 38181 and 38189?

We will first find the prime factorization of 38181 and 38189. After we will calculate the factors of 38181 and 38189 and find the biggest common factor number .

Step-1: Prime Factorization of 38181

Prime factors of 38181 are 3, 11, 13, 89. Prime factorization of 38181 in exponential form is:

38181 = 3¹ × 11¹ × 13¹ × 89¹

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 38181

List of positive integer factors of 38181 that divides 38181 without a remainder.

1, 3, 11, 13, 33, 39, 89, 143, 267, 429, 979, 1157, 2937, 3471, 12727

Step-4: Factors of 38189

List of positive integer factors of 38189 that divides 38181 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38181 and 38189. The biggest common factor number is the GCF number.
So the greatest common factor 38181 and 38189 is 1.

Also check out the Least Common Multiple of 38181 and 38189