What is the Greatest Common Factor of 15540 and 15552?

Greatest common factor (GCF) of 15540 and 15552 is 12.

GCF(15540,15552) = 12

We will now calculate the prime factors of 15540 and 15552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15540 and 15552.

How to find the GCF of 15540 and 15552?

We will first find the prime factorization of 15540 and 15552. After we will calculate the factors of 15540 and 15552 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 15552

Prime factors of 15552 are 2, 3. Prime factorization of 15552 in exponential form is:

15552 = 2⁶ × 3⁵

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 15552

List of positive integer factors of 15552 that divides 15540 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15540 and 15552. The biggest common factor number is the GCF number.
So the greatest common factor 15540 and 15552 is 12.

Also check out the Least Common Multiple of 15540 and 15552