What is the Greatest Common Factor of 15213 and 15228?

Greatest common factor (GCF) of 15213 and 15228 is 3.

GCF(15213,15228) = 3

We will now calculate the prime factors of 15213 and 15228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15213 and 15228.

How to find the GCF of 15213 and 15228?

We will first find the prime factorization of 15213 and 15228. After we will calculate the factors of 15213 and 15228 and find the biggest common factor number .

Step-1: Prime Factorization of 15213

Prime factors of 15213 are 3, 11, 461. Prime factorization of 15213 in exponential form is:

15213 = 3¹ × 11¹ × 461¹

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 15213

List of positive integer factors of 15213 that divides 15213 without a remainder.

1, 3, 11, 33, 461, 1383, 5071

Step-4: Factors of 15228

List of positive integer factors of 15228 that divides 15213 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 15213 and 15228. The biggest common factor number is the GCF number.
So the greatest common factor 15213 and 15228 is 3.

Also check out the Least Common Multiple of 15213 and 15228