What is the Greatest Common Factor of 9648 and 9666?

Greatest common factor (GCF) of 9648 and 9666 is 18.

GCF(9648,9666) = 18

We will now calculate the prime factors of 9648 and 9666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9648 and 9666.

How to find the GCF of 9648 and 9666?

We will first find the prime factorization of 9648 and 9666. After we will calculate the factors of 9648 and 9666 and find the biggest common factor number .

Step-1: Prime Factorization of 9648

Prime factors of 9648 are 2, 3, 67. Prime factorization of 9648 in exponential form is:

9648 = 2⁴ × 3² × 67¹

Step-2: Prime Factorization of 9666

Prime factors of 9666 are 2, 3, 179. Prime factorization of 9666 in exponential form is:

9666 = 2¹ × 3³ × 179¹

Step-3: Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824

Step-4: Factors of 9666

List of positive integer factors of 9666 that divides 9648 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9648 and 9666. The biggest common factor number is the GCF number.
So the greatest common factor 9648 and 9666 is 18.

Also check out the Least Common Multiple of 9648 and 9666