What is the Greatest Common Factor of 15648 and 15654?

Greatest common factor (GCF) of 15648 and 15654 is 6.

GCF(15648,15654) = 6

We will now calculate the prime factors of 15648 and 15654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15648 and 15654.

How to find the GCF of 15648 and 15654?

We will first find the prime factorization of 15648 and 15654. After we will calculate the factors of 15648 and 15654 and find the biggest common factor number .

Step-1: Prime Factorization of 15648

Prime factors of 15648 are 2, 3, 163. Prime factorization of 15648 in exponential form is:

15648 = 2⁵ × 3¹ × 163¹

Step-2: Prime Factorization of 15654

Prime factors of 15654 are 2, 3, 2609. Prime factorization of 15654 in exponential form is:

15654 = 2¹ × 3¹ × 2609¹

Step-3: Factors of 15648

List of positive integer factors of 15648 that divides 15648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 5216, 7824

Step-4: Factors of 15654

List of positive integer factors of 15654 that divides 15648 without a remainder.

1, 2, 3, 6, 2609, 5218, 7827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15648 and 15654. The biggest common factor number is the GCF number.
So the greatest common factor 15648 and 15654 is 6.

Also check out the Least Common Multiple of 15648 and 15654