What is the Greatest Common Factor of 15633 and 15648?

Greatest common factor (GCF) of 15633 and 15648 is 3.

GCF(15633,15648) = 3

We will now calculate the prime factors of 15633 and 15648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15633 and 15648.

How to find the GCF of 15633 and 15648?

We will first find the prime factorization of 15633 and 15648. After we will calculate the factors of 15633 and 15648 and find the biggest common factor number .

Step-1: Prime Factorization of 15633

Prime factors of 15633 are 3, 193. Prime factorization of 15633 in exponential form is:

15633 = 3⁴ × 193¹

Step-2: 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-3: Factors of 15633

List of positive integer factors of 15633 that divides 15633 without a remainder.

1, 3, 9, 27, 81, 193, 579, 1737, 5211

Step-4: Factors of 15648

List of positive integer factors of 15648 that divides 15633 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15633 and 15648. The biggest common factor number is the GCF number.
So the greatest common factor 15633 and 15648 is 3.

Also check out the Least Common Multiple of 15633 and 15648