What is the Greatest Common Factor of 38202 and 38217?

Greatest common factor (GCF) of 38202 and 38217 is 3.

GCF(38202,38217) = 3

We will now calculate the prime factors of 38202 and 38217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38202 and 38217.

How to find the GCF of 38202 and 38217?

We will first find the prime factorization of 38202 and 38217. After we will calculate the factors of 38202 and 38217 and find the biggest common factor number .

Step-1: Prime Factorization of 38202

Prime factors of 38202 are 2, 3, 6367. Prime factorization of 38202 in exponential form is:

38202 = 2¹ × 3¹ × 6367¹

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 38202

List of positive integer factors of 38202 that divides 38202 without a remainder.

1, 2, 3, 6, 6367, 12734, 19101

Step-4: Factors of 38217

List of positive integer factors of 38217 that divides 38202 without a remainder.

1, 3, 12739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38202 and 38217. The biggest common factor number is the GCF number.
So the greatest common factor 38202 and 38217 is 3.

Also check out the Least Common Multiple of 38202 and 38217