What is the Greatest Common Factor of 9960 and 9966?

Greatest common factor (GCF) of 9960 and 9966 is 6.

GCF(9960,9966) = 6

We will now calculate the prime factors of 9960 and 9966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9960 and 9966.

How to find the GCF of 9960 and 9966?

We will first find the prime factorization of 9960 and 9966. After we will calculate the factors of 9960 and 9966 and find the biggest common factor number .

Step-1: Prime Factorization of 9960

Prime factors of 9960 are 2, 3, 5, 83. Prime factorization of 9960 in exponential form is:

9960 = 2³ × 3¹ × 5¹ × 83¹

Step-2: Prime Factorization of 9966

Prime factors of 9966 are 2, 3, 11, 151. Prime factorization of 9966 in exponential form is:

9966 = 2¹ × 3¹ × 11¹ × 151¹

Step-3: Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980

Step-4: Factors of 9966

List of positive integer factors of 9966 that divides 9960 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9960 and 9966. The biggest common factor number is the GCF number.
So the greatest common factor 9960 and 9966 is 6.

Also check out the Least Common Multiple of 9960 and 9966