What is the Greatest Common Factor of 15216 and 15228?

Greatest common factor (GCF) of 15216 and 15228 is 12.

GCF(15216,15228) = 12

We will now calculate the prime factors of 15216 and 15228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15216 and 15228.

How to find the GCF of 15216 and 15228?

We will first find the prime factorization of 15216 and 15228. After we will calculate the factors of 15216 and 15228 and find the biggest common factor number .

Step-1: Prime Factorization of 15216

Prime factors of 15216 are 2, 3, 317. Prime factorization of 15216 in exponential form is:

15216 = 2⁴ × 3¹ × 317¹

Step-2: Prime Factorization of 15228

Prime factors of 15228 are 2, 3, 47. Prime factorization of 15228 in exponential form is:

15228 = 2² × 3⁴ × 47¹

Step-3: Factors of 15216

List of positive integer factors of 15216 that divides 15216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608

Step-4: Factors of 15228

List of positive integer factors of 15228 that divides 15216 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 81, 94, 108, 141, 162, 188, 282, 324, 423, 564, 846, 1269, 1692, 2538, 3807, 5076, 7614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15216 and 15228. The biggest common factor number is the GCF number.
So the greatest common factor 15216 and 15228 is 12.

Also check out the Least Common Multiple of 15216 and 15228