What is the Greatest Common Factor of 66008 and 66014?

Greatest common factor (GCF) of 66008 and 66014 is 2.

GCF(66008,66014) = 2

We will now calculate the prime factors of 66008 and 66014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66008 and 66014.

How to find the GCF of 66008 and 66014?

We will first find the prime factorization of 66008 and 66014. After we will calculate the factors of 66008 and 66014 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 66014

Prime factors of 66014 are 2, 13, 2539. Prime factorization of 66014 in exponential form is:

66014 = 2¹ × 13¹ × 2539¹

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 66014

List of positive integer factors of 66014 that divides 66008 without a remainder.

1, 2, 13, 26, 2539, 5078, 33007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66008 and 66014. The biggest common factor number is the GCF number.
So the greatest common factor 66008 and 66014 is 2.

Also check out the Least Common Multiple of 66008 and 66014