What is the Greatest Common Factor of 72006 and 72012?

Greatest common factor (GCF) of 72006 and 72012 is 6.

GCF(72006,72012) = 6

We will now calculate the prime factors of 72006 and 72012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72006 and 72012.

How to find the GCF of 72006 and 72012?

We will first find the prime factorization of 72006 and 72012. After we will calculate the factors of 72006 and 72012 and find the biggest common factor number .

Step-1: Prime Factorization of 72006

Prime factors of 72006 are 2, 3, 11, 1091. Prime factorization of 72006 in exponential form is:

72006 = 2¹ × 3¹ × 11¹ × 1091¹

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 72006

List of positive integer factors of 72006 that divides 72006 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1091, 2182, 3273, 6546, 12001, 24002, 36003

Step-4: Factors of 72012

List of positive integer factors of 72012 that divides 72006 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 72006 and 72012. The biggest common factor number is the GCF number.
So the greatest common factor 72006 and 72012 is 6.

Also check out the Least Common Multiple of 72006 and 72012