What is the Greatest Common Factor of 65998 and 66008?

Greatest common factor (GCF) of 65998 and 66008 is 2.

GCF(65998,66008) = 2

We will now calculate the prime factors of 65998 and 66008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65998 and 66008.

How to find the GCF of 65998 and 66008?

We will first find the prime factorization of 65998 and 66008. After we will calculate the factors of 65998 and 66008 and find the biggest common factor number .

Step-1: Prime Factorization of 65998

Prime factors of 65998 are 2, 32999. Prime factorization of 65998 in exponential form is:

65998 = 2¹ × 32999¹

Step-2: 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-3: Factors of 65998

List of positive integer factors of 65998 that divides 65998 without a remainder.

1, 2, 32999

Step-4: Factors of 66008

List of positive integer factors of 66008 that divides 65998 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65998 and 66008. The biggest common factor number is the GCF number.
So the greatest common factor 65998 and 66008 is 2.

Also check out the Least Common Multiple of 65998 and 66008