What is the Greatest Common Factor of 72003 and 72012?

Greatest common factor (GCF) of 72003 and 72012 is 3.

GCF(72003,72012) = 3

We will now calculate the prime factors of 72003 and 72012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72003 and 72012.

How to find the GCF of 72003 and 72012?

We will first find the prime factorization of 72003 and 72012. After we will calculate the factors of 72003 and 72012 and find the biggest common factor number .

Step-1: Prime Factorization of 72003

Prime factors of 72003 are 3, 24001. Prime factorization of 72003 in exponential form is:

72003 = 3¹ × 24001¹

Step-2: Prime Factorization of 72012

Prime factors of 72012 are 2, 3, 17, 353. Prime factorization of 72012 in exponential form is:

72012 = 2² × 3¹ × 17¹ × 353¹

Step-3: Factors of 72003

List of positive integer factors of 72003 that divides 72003 without a remainder.

1, 3, 24001

Step-4: Factors of 72012

List of positive integer factors of 72012 that divides 72003 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 353, 706, 1059, 1412, 2118, 4236, 6001, 12002, 18003, 24004, 36006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72003 and 72012. The biggest common factor number is the GCF number.
So the greatest common factor 72003 and 72012 is 3.

Also check out the Least Common Multiple of 72003 and 72012