What is the Greatest Common Factor of 15204 and 15223?

Greatest common factor (GCF) of 15204 and 15223 is 1.

GCF(15204,15223) = 1

We will now calculate the prime factors of 15204 and 15223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15204 and 15223.

How to find the GCF of 15204 and 15223?

We will first find the prime factorization of 15204 and 15223. After we will calculate the factors of 15204 and 15223 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 15223

Prime factors of 15223 are 13, 1171. Prime factorization of 15223 in exponential form is:

15223 = 13¹ × 1171¹

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 15223

List of positive integer factors of 15223 that divides 15204 without a remainder.

1, 13, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15204 and 15223. The biggest common factor number is the GCF number.
So the greatest common factor 15204 and 15223 is 1.

Also check out the Least Common Multiple of 15204 and 15223