What is the Greatest Common Factor of 38212 and 38217?

Greatest common factor (GCF) of 38212 and 38217 is 1.

GCF(38212,38217) = 1

We will now calculate the prime factors of 38212 and 38217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38212 and 38217.

How to find the GCF of 38212 and 38217?

We will first find the prime factorization of 38212 and 38217. After we will calculate the factors of 38212 and 38217 and find the biggest common factor number .

Step-1: Prime Factorization of 38212

Prime factors of 38212 are 2, 41, 233. Prime factorization of 38212 in exponential form is:

38212 = 2² × 41¹ × 233¹

Step-2: Prime Factorization of 38217

Prime factors of 38217 are 3, 12739. Prime factorization of 38217 in exponential form is:

38217 = 3¹ × 12739¹

Step-3: Factors of 38212

List of positive integer factors of 38212 that divides 38212 without a remainder.

1, 2, 4, 41, 82, 164, 233, 466, 932, 9553, 19106

Step-4: Factors of 38217

List of positive integer factors of 38217 that divides 38212 without a remainder.

1, 3, 12739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38212 and 38217. The biggest common factor number is the GCF number.
So the greatest common factor 38212 and 38217 is 1.

Also check out the Least Common Multiple of 38212 and 38217