What is the Greatest Common Factor of 15444 and 15449?

Greatest common factor (GCF) of 15444 and 15449 is 1.

GCF(15444,15449) = 1

We will now calculate the prime factors of 15444 and 15449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15444 and 15449.

How to find the GCF of 15444 and 15449?

We will first find the prime factorization of 15444 and 15449. After we will calculate the factors of 15444 and 15449 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 15449

Prime factors of 15449 are 7, 2207. Prime factorization of 15449 in exponential form is:

15449 = 7¹ × 2207¹

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 15449

List of positive integer factors of 15449 that divides 15444 without a remainder.

1, 7, 2207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15444 and 15449. The biggest common factor number is the GCF number.
So the greatest common factor 15444 and 15449 is 1.

Also check out the Least Common Multiple of 15444 and 15449