What is the Greatest Common Factor of 66912 and 66928?

Greatest common factor (GCF) of 66912 and 66928 is 16.

GCF(66912,66928) = 16

We will now calculate the prime factors of 66912 and 66928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66912 and 66928.

How to find the GCF of 66912 and 66928?

We will first find the prime factorization of 66912 and 66928. After we will calculate the factors of 66912 and 66928 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 66928

Prime factors of 66928 are 2, 47, 89. Prime factorization of 66928 in exponential form is:

66928 = 2⁴ × 47¹ × 89¹

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 66928

List of positive integer factors of 66928 that divides 66912 without a remainder.

1, 2, 4, 8, 16, 47, 89, 94, 178, 188, 356, 376, 712, 752, 1424, 4183, 8366, 16732, 33464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66912 and 66928. The biggest common factor number is the GCF number.
So the greatest common factor 66912 and 66928 is 16.

Also check out the Least Common Multiple of 66912 and 66928