What is the Greatest Common Factor of 15204 and 15217?

Greatest common factor (GCF) of 15204 and 15217 is 1.

GCF(15204,15217) = 1

We will now calculate the prime factors of 15204 and 15217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15204 and 15217.

How to find the GCF of 15204 and 15217?

We will first find the prime factorization of 15204 and 15217. After we will calculate the factors of 15204 and 15217 and find the biggest common factor number .

Step-1: Prime Factorization of 15204

Prime factors of 15204 are 2, 3, 7, 181. Prime factorization of 15204 in exponential form is:

15204 = 2² × 3¹ × 7¹ × 181¹

Step-2: Prime Factorization of 15217

Prime factors of 15217 are 15217. Prime factorization of 15217 in exponential form is:

15217 = 15217¹

Step-3: Factors of 15204

List of positive integer factors of 15204 that divides 15204 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602

Step-4: Factors of 15217

List of positive integer factors of 15217 that divides 15204 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15204 and 15217. The biggest common factor number is the GCF number.
So the greatest common factor 15204 and 15217 is 1.

Also check out the Least Common Multiple of 15204 and 15217