What is the Greatest Common Factor of 15540 and 15549?

Greatest common factor (GCF) of 15540 and 15549 is 3.

GCF(15540,15549) = 3

We will now calculate the prime factors of 15540 and 15549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15540 and 15549.

How to find the GCF of 15540 and 15549?

We will first find the prime factorization of 15540 and 15549. After we will calculate the factors of 15540 and 15549 and find the biggest common factor number .

Step-1: Prime Factorization of 15540

Prime factors of 15540 are 2, 3, 5, 7, 37. Prime factorization of 15540 in exponential form is:

15540 = 2² × 3¹ × 5¹ × 7¹ × 37¹

Step-2: 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-3: Factors of 15540

List of positive integer factors of 15540 that divides 15540 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 37, 42, 60, 70, 74, 84, 105, 111, 140, 148, 185, 210, 222, 259, 370, 420, 444, 518, 555, 740, 777, 1036, 1110, 1295, 1554, 2220, 2590, 3108, 3885, 5180, 7770

Step-4: Factors of 15549

List of positive integer factors of 15549 that divides 15540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15540 and 15549. The biggest common factor number is the GCF number.
So the greatest common factor 15540 and 15549 is 3.

Also check out the Least Common Multiple of 15540 and 15549