What is the Greatest Common Factor of 66008 and 66028?

Greatest common factor (GCF) of 66008 and 66028 is 4.

GCF(66008,66028) = 4

We will now calculate the prime factors of 66008 and 66028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66008 and 66028.

How to find the GCF of 66008 and 66028?

We will first find the prime factorization of 66008 and 66028. After we will calculate the factors of 66008 and 66028 and find the biggest common factor number .

Step-1: Prime Factorization of 66008

Prime factors of 66008 are 2, 37, 223. Prime factorization of 66008 in exponential form is:

66008 = 2³ × 37¹ × 223¹

Step-2: Prime Factorization of 66028

Prime factors of 66028 are 2, 17, 971. Prime factorization of 66028 in exponential form is:

66028 = 2² × 17¹ × 971¹

Step-3: Factors of 66008

List of positive integer factors of 66008 that divides 66008 without a remainder.

1, 2, 4, 8, 37, 74, 148, 223, 296, 446, 892, 1784, 8251, 16502, 33004

Step-4: Factors of 66028

List of positive integer factors of 66028 that divides 66008 without a remainder.

1, 2, 4, 17, 34, 68, 971, 1942, 3884, 16507, 33014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66008 and 66028. The biggest common factor number is the GCF number.
So the greatest common factor 66008 and 66028 is 4.

Also check out the Least Common Multiple of 66008 and 66028