What is the Greatest Common Factor of 65997 and 66006?

Greatest common factor (GCF) of 65997 and 66006 is 9.

GCF(65997,66006) = 9

We will now calculate the prime factors of 65997 and 66006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65997 and 66006.

How to find the GCF of 65997 and 66006?

We will first find the prime factorization of 65997 and 66006. After we will calculate the factors of 65997 and 66006 and find the biggest common factor number .

Step-1: Prime Factorization of 65997

Prime factors of 65997 are 3, 7333. Prime factorization of 65997 in exponential form is:

65997 = 3² × 7333¹

Step-2: Prime Factorization of 66006

Prime factors of 66006 are 2, 3, 19, 193. Prime factorization of 66006 in exponential form is:

66006 = 2¹ × 3² × 19¹ × 193¹

Step-3: Factors of 65997

List of positive integer factors of 65997 that divides 65997 without a remainder.

1, 3, 9, 7333, 21999

Step-4: Factors of 66006

List of positive integer factors of 66006 that divides 65997 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 193, 342, 386, 579, 1158, 1737, 3474, 3667, 7334, 11001, 22002, 33003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65997 and 66006. The biggest common factor number is the GCF number.
So the greatest common factor 65997 and 66006 is 9.

Also check out the Least Common Multiple of 65997 and 66006