What is the Greatest Common Factor of 15444 and 15452?

Greatest common factor (GCF) of 15444 and 15452 is 4.

GCF(15444,15452) = 4

We will now calculate the prime factors of 15444 and 15452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15444 and 15452.

How to find the GCF of 15444 and 15452?

We will first find the prime factorization of 15444 and 15452. After we will calculate the factors of 15444 and 15452 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 15452

Prime factors of 15452 are 2, 3863. Prime factorization of 15452 in exponential form is:

15452 = 2² × 3863¹

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 15452

List of positive integer factors of 15452 that divides 15444 without a remainder.

1, 2, 4, 3863, 7726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15444 and 15452. The biggest common factor number is the GCF number.
So the greatest common factor 15444 and 15452 is 4.

Also check out the Least Common Multiple of 15444 and 15452