What is the Greatest Common Factor of 38181 and 38187?

Greatest common factor (GCF) of 38181 and 38187 is 3.

GCF(38181,38187) = 3

We will now calculate the prime factors of 38181 and 38187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38181 and 38187.

How to find the GCF of 38181 and 38187?

We will first find the prime factorization of 38181 and 38187. After we will calculate the factors of 38181 and 38187 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 38187

Prime factors of 38187 are 3, 4243. Prime factorization of 38187 in exponential form is:

38187 = 3² × 4243¹

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 38187

List of positive integer factors of 38187 that divides 38181 without a remainder.

1, 3, 9, 4243, 12729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38181 and 38187. The biggest common factor number is the GCF number.
So the greatest common factor 38181 and 38187 is 3.

Also check out the Least Common Multiple of 38181 and 38187