What is the Greatest Common Factor of 36006 and 36013?

Greatest common factor (GCF) of 36006 and 36013 is 1.

GCF(36006,36013) = 1

We will now calculate the prime factors of 36006 and 36013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36006 and 36013.

How to find the GCF of 36006 and 36013?

We will first find the prime factorization of 36006 and 36013. After we will calculate the factors of 36006 and 36013 and find the biggest common factor number .

Step-1: Prime Factorization of 36006

Prime factors of 36006 are 2, 3, 17, 353. Prime factorization of 36006 in exponential form is:

36006 = 2¹ × 3¹ × 17¹ × 353¹

Step-2: Prime Factorization of 36013

Prime factors of 36013 are 36013. Prime factorization of 36013 in exponential form is:

36013 = 36013¹

Step-3: Factors of 36006

List of positive integer factors of 36006 that divides 36006 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003

Step-4: Factors of 36013

List of positive integer factors of 36013 that divides 36006 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36006 and 36013. The biggest common factor number is the GCF number.
So the greatest common factor 36006 and 36013 is 1.

Also check out the Least Common Multiple of 36006 and 36013