What is the Greatest Common Factor of 66008 and 66026?

Greatest common factor (GCF) of 66008 and 66026 is 2.

GCF(66008,66026) = 2

We will now calculate the prime factors of 66008 and 66026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66008 and 66026.

How to find the GCF of 66008 and 66026?

We will first find the prime factorization of 66008 and 66026. After we will calculate the factors of 66008 and 66026 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 66026

Prime factors of 66026 are 2, 33013. Prime factorization of 66026 in exponential form is:

66026 = 2¹ × 33013¹

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 66026

List of positive integer factors of 66026 that divides 66008 without a remainder.

1, 2, 33013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66008 and 66026. The biggest common factor number is the GCF number.
So the greatest common factor 66008 and 66026 is 2.

Also check out the Least Common Multiple of 66008 and 66026