What is the Greatest Common Factor of 36006 and 36023?

Greatest common factor (GCF) of 36006 and 36023 is 17.

GCF(36006,36023) = 17

We will now calculate the prime factors of 36006 and 36023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36006 and 36023.

How to find the GCF of 36006 and 36023?

We will first find the prime factorization of 36006 and 36023. After we will calculate the factors of 36006 and 36023 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 36023

Prime factors of 36023 are 13, 17, 163. Prime factorization of 36023 in exponential form is:

36023 = 13¹ × 17¹ × 163¹

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 36023

List of positive integer factors of 36023 that divides 36006 without a remainder.

1, 13, 17, 163, 221, 2119, 2771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36006 and 36023. The biggest common factor number is the GCF number.
So the greatest common factor 36006 and 36023 is 17.

Also check out the Least Common Multiple of 36006 and 36023