What is the Greatest Common Factor of 10006 and 10020?

Greatest common factor (GCF) of 10006 and 10020 is 2.

GCF(10006,10020) = 2

We will now calculate the prime factors of 10006 and 10020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10006 and 10020.

How to find the GCF of 10006 and 10020?

We will first find the prime factorization of 10006 and 10020. After we will calculate the factors of 10006 and 10020 and find the biggest common factor number .

Step-1: Prime Factorization of 10006

Prime factors of 10006 are 2, 5003. Prime factorization of 10006 in exponential form is:

10006 = 2¹ × 5003¹

Step-2: Prime Factorization of 10020

Prime factors of 10020 are 2, 3, 5, 167. Prime factorization of 10020 in exponential form is:

10020 = 2² × 3¹ × 5¹ × 167¹

Step-3: Factors of 10006

List of positive integer factors of 10006 that divides 10006 without a remainder.

1, 2, 5003

Step-4: Factors of 10020

List of positive integer factors of 10020 that divides 10006 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10006 and 10020. The biggest common factor number is the GCF number.
So the greatest common factor 10006 and 10020 is 2.

Also check out the Least Common Multiple of 10006 and 10020