What is the Greatest Common Factor of 38272 and 38284?

Greatest common factor (GCF) of 38272 and 38284 is 4.

GCF(38272,38284) = 4

We will now calculate the prime factors of 38272 and 38284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38272 and 38284.

How to find the GCF of 38272 and 38284?

We will first find the prime factorization of 38272 and 38284. After we will calculate the factors of 38272 and 38284 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 38284

Prime factors of 38284 are 2, 17, 563. Prime factorization of 38284 in exponential form is:

38284 = 2² × 17¹ × 563¹

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 38284

List of positive integer factors of 38284 that divides 38272 without a remainder.

1, 2, 4, 17, 34, 68, 563, 1126, 2252, 9571, 19142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38272 and 38284. The biggest common factor number is the GCF number.
So the greatest common factor 38272 and 38284 is 4.

Also check out the Least Common Multiple of 38272 and 38284