What is the Greatest Common Factor of 38154 and 38168?

Greatest common factor (GCF) of 38154 and 38168 is 2.

GCF(38154,38168) = 2

We will now calculate the prime factors of 38154 and 38168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38154 and 38168.

How to find the GCF of 38154 and 38168?

We will first find the prime factorization of 38154 and 38168. After we will calculate the factors of 38154 and 38168 and find the biggest common factor number .

Step-1: Prime Factorization of 38154

Prime factors of 38154 are 2, 3, 6359. Prime factorization of 38154 in exponential form is:

38154 = 2¹ × 3¹ × 6359¹

Step-2: 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-3: Factors of 38154

List of positive integer factors of 38154 that divides 38154 without a remainder.

1, 2, 3, 6, 6359, 12718, 19077

Step-4: Factors of 38168

List of positive integer factors of 38168 that divides 38154 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38154 and 38168. The biggest common factor number is the GCF number.
So the greatest common factor 38154 and 38168 is 2.

Also check out the Least Common Multiple of 38154 and 38168