What is the Greatest Common Factor of 15429 and 15444?

Greatest common factor (GCF) of 15429 and 15444 is 3.

GCF(15429,15444) = 3

We will now calculate the prime factors of 15429 and 15444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15429 and 15444.

How to find the GCF of 15429 and 15444?

We will first find the prime factorization of 15429 and 15444. After we will calculate the factors of 15429 and 15444 and find the biggest common factor number .

Step-1: Prime Factorization of 15429

Prime factors of 15429 are 3, 37, 139. Prime factorization of 15429 in exponential form is:

15429 = 3¹ × 37¹ × 139¹

Step-2: 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-3: Factors of 15429

List of positive integer factors of 15429 that divides 15429 without a remainder.

1, 3, 37, 111, 139, 417, 5143

Step-4: Factors of 15444

List of positive integer factors of 15444 that divides 15429 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15429 and 15444. The biggest common factor number is the GCF number.
So the greatest common factor 15429 and 15444 is 3.

Also check out the Least Common Multiple of 15429 and 15444