What is the Greatest Common Factor of 66884 and 66896?

Greatest common factor (GCF) of 66884 and 66896 is 4.

GCF(66884,66896) = 4

We will now calculate the prime factors of 66884 and 66896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66884 and 66896.

How to find the GCF of 66884 and 66896?

We will first find the prime factorization of 66884 and 66896. After we will calculate the factors of 66884 and 66896 and find the biggest common factor number .

Step-1: Prime Factorization of 66884

Prime factors of 66884 are 2, 23, 727. Prime factorization of 66884 in exponential form is:

66884 = 2² × 23¹ × 727¹

Step-2: Prime Factorization of 66896

Prime factors of 66896 are 2, 37, 113. Prime factorization of 66896 in exponential form is:

66896 = 2⁴ × 37¹ × 113¹

Step-3: Factors of 66884

List of positive integer factors of 66884 that divides 66884 without a remainder.

1, 2, 4, 23, 46, 92, 727, 1454, 2908, 16721, 33442

Step-4: Factors of 66896

List of positive integer factors of 66896 that divides 66884 without a remainder.

1, 2, 4, 8, 16, 37, 74, 113, 148, 226, 296, 452, 592, 904, 1808, 4181, 8362, 16724, 33448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66884 and 66896. The biggest common factor number is the GCF number.
So the greatest common factor 66884 and 66896 is 4.

Also check out the Least Common Multiple of 66884 and 66896