What is the Greatest Common Factor of 66912 and 66924?

Greatest common factor (GCF) of 66912 and 66924 is 12.

GCF(66912,66924) = 12

We will now calculate the prime factors of 66912 and 66924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66912 and 66924.

How to find the GCF of 66912 and 66924?

We will first find the prime factorization of 66912 and 66924. After we will calculate the factors of 66912 and 66924 and find the biggest common factor number .

Step-1: Prime Factorization of 66912

Prime factors of 66912 are 2, 3, 17, 41. Prime factorization of 66912 in exponential form is:

66912 = 2⁵ × 3¹ × 17¹ × 41¹

Step-2: Prime Factorization of 66924

Prime factors of 66924 are 2, 3, 11, 13. Prime factorization of 66924 in exponential form is:

66924 = 2² × 3² × 11¹ × 13²

Step-3: Factors of 66912

List of positive integer factors of 66912 that divides 66912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 41, 48, 51, 68, 82, 96, 102, 123, 136, 164, 204, 246, 272, 328, 408, 492, 544, 656, 697, 816, 984, 1312, 1394, 1632, 1968, 2091, 2788, 3936, 4182, 5576, 8364, 11152, 16728, 22304, 33456

Step-4: Factors of 66924

List of positive integer factors of 66924 that divides 66912 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 169, 198, 234, 286, 338, 396, 429, 468, 507, 572, 676, 858, 1014, 1287, 1521, 1716, 1859, 2028, 2574, 3042, 3718, 5148, 5577, 6084, 7436, 11154, 16731, 22308, 33462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66912 and 66924. The biggest common factor number is the GCF number.
So the greatest common factor 66912 and 66924 is 12.

Also check out the Least Common Multiple of 66912 and 66924