What is the Greatest Common Factor of 15552 and 15570?

Greatest common factor (GCF) of 15552 and 15570 is 18.

GCF(15552,15570) = 18

We will now calculate the prime factors of 15552 and 15570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15552 and 15570.

How to find the GCF of 15552 and 15570?

We will first find the prime factorization of 15552 and 15570. After we will calculate the factors of 15552 and 15570 and find the biggest common factor number .

Step-1: Prime Factorization of 15552

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

15552 = 2⁶ × 3⁵

Step-2: Prime Factorization of 15570

Prime factors of 15570 are 2, 3, 5, 173. Prime factorization of 15570 in exponential form is:

15570 = 2¹ × 3² × 5¹ × 173¹

Step-3: Factors of 15552

List of positive integer factors of 15552 that divides 15552 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

Step-4: Factors of 15570

List of positive integer factors of 15570 that divides 15552 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 173, 346, 519, 865, 1038, 1557, 1730, 2595, 3114, 5190, 7785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15552 and 15570. The biggest common factor number is the GCF number.
So the greatest common factor 15552 and 15570 is 18.

Also check out the Least Common Multiple of 15552 and 15570