What is the Greatest Common Factor of 15204 and 15224?

Greatest common factor (GCF) of 15204 and 15224 is 4.

GCF(15204,15224) = 4

We will now calculate the prime factors of 15204 and 15224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15204 and 15224.

How to find the GCF of 15204 and 15224?

We will first find the prime factorization of 15204 and 15224. After we will calculate the factors of 15204 and 15224 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 15224

Prime factors of 15224 are 2, 11, 173. Prime factorization of 15224 in exponential form is:

15224 = 2³ × 11¹ × 173¹

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 15224

List of positive integer factors of 15224 that divides 15204 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15204 and 15224. The biggest common factor number is the GCF number.
So the greatest common factor 15204 and 15224 is 4.

Also check out the Least Common Multiple of 15204 and 15224