What is the Greatest Common Factor of 66003 and 66012?

Greatest common factor (GCF) of 66003 and 66012 is 3.

GCF(66003,66012) = 3

We will now calculate the prime factors of 66003 and 66012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66003 and 66012.

How to find the GCF of 66003 and 66012?

We will first find the prime factorization of 66003 and 66012. After we will calculate the factors of 66003 and 66012 and find the biggest common factor number .

Step-1: Prime Factorization of 66003

Prime factors of 66003 are 3, 7, 449. Prime factorization of 66003 in exponential form is:

66003 = 3¹ × 7² × 449¹

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 66003

List of positive integer factors of 66003 that divides 66003 without a remainder.

1, 3, 7, 21, 49, 147, 449, 1347, 3143, 9429, 22001

Step-4: Factors of 66012

List of positive integer factors of 66012 that divides 66003 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 66003 and 66012. The biggest common factor number is the GCF number.
So the greatest common factor 66003 and 66012 is 3.

Also check out the Least Common Multiple of 66003 and 66012