What is the Greatest Common Factor of 38267 and 38285?

Greatest common factor (GCF) of 38267 and 38285 is 1.

GCF(38267,38285) = 1

We will now calculate the prime factors of 38267 and 38285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38267 and 38285.

How to find the GCF of 38267 and 38285?

We will first find the prime factorization of 38267 and 38285. After we will calculate the factors of 38267 and 38285 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 38285

Prime factors of 38285 are 5, 13, 19, 31. Prime factorization of 38285 in exponential form is:

38285 = 5¹ × 13¹ × 19¹ × 31¹

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 38285

List of positive integer factors of 38285 that divides 38267 without a remainder.

1, 5, 13, 19, 31, 65, 95, 155, 247, 403, 589, 1235, 2015, 2945, 7657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38267 and 38285. The biggest common factor number is the GCF number.
So the greatest common factor 38267 and 38285 is 1.

Also check out the Least Common Multiple of 38267 and 38285