What is the Greatest Common Factor of 38151 and 38169?

Greatest common factor (GCF) of 38151 and 38169 is 9.

GCF(38151,38169) = 9

We will now calculate the prime factors of 38151 and 38169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38151 and 38169.

How to find the GCF of 38151 and 38169?

We will first find the prime factorization of 38151 and 38169. After we will calculate the factors of 38151 and 38169 and find the biggest common factor number .

Step-1: Prime Factorization of 38151

Prime factors of 38151 are 3, 157. Prime factorization of 38151 in exponential form is:

38151 = 3⁵ × 157¹

Step-2: Prime Factorization of 38169

Prime factors of 38169 are 3, 4241. Prime factorization of 38169 in exponential form is:

38169 = 3² × 4241¹

Step-3: Factors of 38151

List of positive integer factors of 38151 that divides 38151 without a remainder.

1, 3, 9, 27, 81, 157, 243, 471, 1413, 4239, 12717

Step-4: Factors of 38169

List of positive integer factors of 38169 that divides 38151 without a remainder.

1, 3, 9, 4241, 12723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38151 and 38169. The biggest common factor number is the GCF number.
So the greatest common factor 38151 and 38169 is 9.

Also check out the Least Common Multiple of 38151 and 38169