What is the Greatest Common Factor of 15549 and 15564?

Greatest common factor (GCF) of 15549 and 15564 is 3.

GCF(15549,15564) = 3

We will now calculate the prime factors of 15549 and 15564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15549 and 15564.

How to find the GCF of 15549 and 15564?

We will first find the prime factorization of 15549 and 15564. After we will calculate the factors of 15549 and 15564 and find the biggest common factor number .

Step-1: Prime Factorization of 15549

Prime factors of 15549 are 3, 71, 73. Prime factorization of 15549 in exponential form is:

15549 = 3¹ × 71¹ × 73¹

Step-2: Prime Factorization of 15564

Prime factors of 15564 are 2, 3, 1297. Prime factorization of 15564 in exponential form is:

15564 = 2² × 3¹ × 1297¹

Step-3: Factors of 15549

List of positive integer factors of 15549 that divides 15549 without a remainder.

1, 3, 71, 73, 213, 219, 5183

Step-4: Factors of 15564

List of positive integer factors of 15564 that divides 15549 without a remainder.

1, 2, 3, 4, 6, 12, 1297, 2594, 3891, 5188, 7782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15549 and 15564. The biggest common factor number is the GCF number.
So the greatest common factor 15549 and 15564 is 3.

Also check out the Least Common Multiple of 15549 and 15564