What is the Greatest Common Factor of 38168 and 38181?

Greatest common factor (GCF) of 38168 and 38181 is 13.

GCF(38168,38181) = 13

We will now calculate the prime factors of 38168 and 38181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38168 and 38181.

How to find the GCF of 38168 and 38181?

We will first find the prime factorization of 38168 and 38181. After we will calculate the factors of 38168 and 38181 and find the biggest common factor number .

Step-1: Prime Factorization of 38168

Prime factors of 38168 are 2, 13, 367. Prime factorization of 38168 in exponential form is:

38168 = 2³ × 13¹ × 367¹

Step-2: 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-3: Factors of 38168

List of positive integer factors of 38168 that divides 38168 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 367, 734, 1468, 2936, 4771, 9542, 19084

Step-4: Factors of 38181

List of positive integer factors of 38181 that divides 38168 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38168 and 38181. The biggest common factor number is the GCF number.
So the greatest common factor 38168 and 38181 is 13.

Also check out the Least Common Multiple of 38168 and 38181