What is the Greatest Common Factor of 38267 and 38284?

Greatest common factor (GCF) of 38267 and 38284 is 17.

GCF(38267,38284) = 17

We will now calculate the prime factors of 38267 and 38284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38267 and 38284.

How to find the GCF of 38267 and 38284?

We will first find the prime factorization of 38267 and 38284. After we will calculate the factors of 38267 and 38284 and find the biggest common factor number .

Step-1: Prime Factorization of 38267

Prime factors of 38267 are 17, 2251. Prime factorization of 38267 in exponential form is:

38267 = 17¹ × 2251¹

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 38267

List of positive integer factors of 38267 that divides 38267 without a remainder.

1, 17, 2251

Step-4: Factors of 38284

List of positive integer factors of 38284 that divides 38267 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 38267 and 38284. The biggest common factor number is the GCF number.
So the greatest common factor 38267 and 38284 is 17.

Also check out the Least Common Multiple of 38267 and 38284