What is the Greatest Common Factor of 65997 and 66012?

Greatest common factor (GCF) of 65997 and 66012 is 3.

GCF(65997,66012) = 3

We will now calculate the prime factors of 65997 and 66012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65997 and 66012.

How to find the GCF of 65997 and 66012?

We will first find the prime factorization of 65997 and 66012. After we will calculate the factors of 65997 and 66012 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 66012

Prime factors of 66012 are 2, 3, 5501. Prime factorization of 66012 in exponential form is:

66012 = 2² × 3¹ × 5501¹

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 66012

List of positive integer factors of 66012 that divides 65997 without a remainder.

1, 2, 3, 4, 6, 12, 5501, 11002, 16503, 22004, 33006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65997 and 66012. The biggest common factor number is the GCF number.
So the greatest common factor 65997 and 66012 is 3.

Also check out the Least Common Multiple of 65997 and 66012