What is the Greatest Common Factor of 9912 and 9924?

Greatest common factor (GCF) of 9912 and 9924 is 12.

GCF(9912,9924) = 12

We will now calculate the prime factors of 9912 and 9924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9912 and 9924.

How to find the GCF of 9912 and 9924?

We will first find the prime factorization of 9912 and 9924. After we will calculate the factors of 9912 and 9924 and find the biggest common factor number .

Step-1: Prime Factorization of 9912

Prime factors of 9912 are 2, 3, 7, 59. Prime factorization of 9912 in exponential form is:

9912 = 2³ × 3¹ × 7¹ × 59¹

Step-2: Prime Factorization of 9924

Prime factors of 9924 are 2, 3, 827. Prime factorization of 9924 in exponential form is:

9924 = 2² × 3¹ × 827¹

Step-3: Factors of 9912

List of positive integer factors of 9912 that divides 9912 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956

Step-4: Factors of 9924

List of positive integer factors of 9924 that divides 9912 without a remainder.

1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9912 and 9924. The biggest common factor number is the GCF number.
So the greatest common factor 9912 and 9924 is 12.

Also check out the Least Common Multiple of 9912 and 9924