What is the Greatest Common Factor of 65989 and 66008?

Greatest common factor (GCF) of 65989 and 66008 is 1.

GCF(65989,66008) = 1

We will now calculate the prime factors of 65989 and 66008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65989 and 66008.

How to find the GCF of 65989 and 66008?

We will first find the prime factorization of 65989 and 66008. After we will calculate the factors of 65989 and 66008 and find the biggest common factor number .

Step-1: Prime Factorization of 65989

Prime factors of 65989 are 7, 11, 857. Prime factorization of 65989 in exponential form is:

65989 = 7¹ × 11¹ × 857¹

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 65989

List of positive integer factors of 65989 that divides 65989 without a remainder.

1, 7, 11, 77, 857, 5999, 9427

Step-4: Factors of 66008

List of positive integer factors of 66008 that divides 65989 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 65989 and 66008. The biggest common factor number is the GCF number.
So the greatest common factor 65989 and 66008 is 1.

Also check out the Least Common Multiple of 65989 and 66008