What is the Greatest Common Factor of 38272 and 38278?

Greatest common factor (GCF) of 38272 and 38278 is 2.

GCF(38272,38278) = 2

We will now calculate the prime factors of 38272 and 38278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38272 and 38278.

How to find the GCF of 38272 and 38278?

We will first find the prime factorization of 38272 and 38278. After we will calculate the factors of 38272 and 38278 and find the biggest common factor number .

Step-1: Prime Factorization of 38272

Prime factors of 38272 are 2, 13, 23. Prime factorization of 38272 in exponential form is:

38272 = 2⁷ × 13¹ × 23¹

Step-2: Prime Factorization of 38278

Prime factors of 38278 are 2, 19139. Prime factorization of 38278 in exponential form is:

38278 = 2¹ × 19139¹

Step-3: Factors of 38272

List of positive integer factors of 38272 that divides 38272 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 64, 92, 104, 128, 184, 208, 299, 368, 416, 598, 736, 832, 1196, 1472, 1664, 2392, 2944, 4784, 9568, 19136

Step-4: Factors of 38278

List of positive integer factors of 38278 that divides 38272 without a remainder.

1, 2, 19139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38272 and 38278. The biggest common factor number is the GCF number.
So the greatest common factor 38272 and 38278 is 2.

Also check out the Least Common Multiple of 38272 and 38278