What is the Greatest Common Factor of 72012 and 72029?

Greatest common factor (GCF) of 72012 and 72029 is 17.

GCF(72012,72029) = 17

We will now calculate the prime factors of 72012 and 72029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72012 and 72029.

How to find the GCF of 72012 and 72029?

We will first find the prime factorization of 72012 and 72029. After we will calculate the factors of 72012 and 72029 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72029

Prime factors of 72029 are 17, 19, 223. Prime factorization of 72029 in exponential form is:

72029 = 17¹ × 19¹ × 223¹

Step-3: Factors of 72012

List of positive integer factors of 72012 that divides 72012 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

Step-4: Factors of 72029

List of positive integer factors of 72029 that divides 72012 without a remainder.

1, 17, 19, 223, 323, 3791, 4237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72012 and 72029. The biggest common factor number is the GCF number.
So the greatest common factor 72012 and 72029 is 17.

Also check out the Least Common Multiple of 72012 and 72029