What is the Greatest Common Factor of 38144 and 38148?

Greatest common factor (GCF) of 38144 and 38148 is 4.

GCF(38144,38148) = 4

We will now calculate the prime factors of 38144 and 38148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38144 and 38148.

How to find the GCF of 38144 and 38148?

We will first find the prime factorization of 38144 and 38148. After we will calculate the factors of 38144 and 38148 and find the biggest common factor number .

Step-1: Prime Factorization of 38144

Prime factors of 38144 are 2, 149. Prime factorization of 38144 in exponential form is:

38144 = 2⁸ × 149¹

Step-2: 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-3: Factors of 38144

List of positive integer factors of 38144 that divides 38144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 149, 256, 298, 596, 1192, 2384, 4768, 9536, 19072

Step-4: Factors of 38148

List of positive integer factors of 38148 that divides 38144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38144 and 38148. The biggest common factor number is the GCF number.
So the greatest common factor 38144 and 38148 is 4.

Also check out the Least Common Multiple of 38144 and 38148