What is the Greatest Common Factor of 15444 and 15457?

Greatest common factor (GCF) of 15444 and 15457 is 13.

GCF(15444,15457) = 13

We will now calculate the prime factors of 15444 and 15457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15444 and 15457.

How to find the GCF of 15444 and 15457?

We will first find the prime factorization of 15444 and 15457. After we will calculate the factors of 15444 and 15457 and find the biggest common factor number .

Step-1: Prime Factorization of 15444

Prime factors of 15444 are 2, 3, 11, 13. Prime factorization of 15444 in exponential form is:

15444 = 2² × 3³ × 11¹ × 13¹

Step-2: Prime Factorization of 15457

Prime factors of 15457 are 13, 29, 41. Prime factorization of 15457 in exponential form is:

15457 = 13¹ × 29¹ × 41¹

Step-3: Factors of 15444

List of positive integer factors of 15444 that divides 15444 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 27, 33, 36, 39, 44, 52, 54, 66, 78, 99, 108, 117, 132, 143, 156, 198, 234, 286, 297, 351, 396, 429, 468, 572, 594, 702, 858, 1188, 1287, 1404, 1716, 2574, 3861, 5148, 7722

Step-4: Factors of 15457

List of positive integer factors of 15457 that divides 15444 without a remainder.

1, 13, 29, 41, 377, 533, 1189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15444 and 15457. The biggest common factor number is the GCF number.
So the greatest common factor 15444 and 15457 is 13.

Also check out the Least Common Multiple of 15444 and 15457