What is the Greatest Common Factor of 38094 and 38108?

Greatest common factor (GCF) of 38094 and 38108 is 14.

GCF(38094,38108) = 14

We will now calculate the prime factors of 38094 and 38108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38094 and 38108.

How to find the GCF of 38094 and 38108?

We will first find the prime factorization of 38094 and 38108. After we will calculate the factors of 38094 and 38108 and find the biggest common factor number .

Step-1: Prime Factorization of 38094

Prime factors of 38094 are 2, 3, 7, 907. Prime factorization of 38094 in exponential form is:

38094 = 2¹ × 3¹ × 7¹ × 907¹

Step-2: Prime Factorization of 38108

Prime factors of 38108 are 2, 7, 1361. Prime factorization of 38108 in exponential form is:

38108 = 2² × 7¹ × 1361¹

Step-3: Factors of 38094

List of positive integer factors of 38094 that divides 38094 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 907, 1814, 2721, 5442, 6349, 12698, 19047

Step-4: Factors of 38108

List of positive integer factors of 38108 that divides 38094 without a remainder.

1, 2, 4, 7, 14, 28, 1361, 2722, 5444, 9527, 19054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38094 and 38108. The biggest common factor number is the GCF number.
So the greatest common factor 38094 and 38108 is 14.

Also check out the Least Common Multiple of 38094 and 38108