What is the Greatest Common Factor of 38148 and 38165?

Greatest common factor (GCF) of 38148 and 38165 is 17.

GCF(38148,38165) = 17

We will now calculate the prime factors of 38148 and 38165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38148 and 38165.

How to find the GCF of 38148 and 38165?

We will first find the prime factorization of 38148 and 38165. After we will calculate the factors of 38148 and 38165 and find the biggest common factor number .

Step-1: Prime Factorization of 38148

Prime factors of 38148 are 2, 3, 11, 17. Prime factorization of 38148 in exponential form is:

38148 = 2² × 3¹ × 11¹ × 17²

Step-2: Prime Factorization of 38165

Prime factors of 38165 are 5, 17, 449. Prime factorization of 38165 in exponential form is:

38165 = 5¹ × 17¹ × 449¹

Step-3: Factors of 38148

List of positive integer factors of 38148 that divides 38148 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 289, 374, 561, 578, 748, 867, 1122, 1156, 1734, 2244, 3179, 3468, 6358, 9537, 12716, 19074

Step-4: Factors of 38165

List of positive integer factors of 38165 that divides 38148 without a remainder.

1, 5, 17, 85, 449, 2245, 7633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38148 and 38165. The biggest common factor number is the GCF number.
So the greatest common factor 38148 and 38165 is 17.

Also check out the Least Common Multiple of 38148 and 38165