What is the Greatest Common Factor of 4006 and 4020?

Greatest common factor (GCF) of 4006 and 4020 is 2.

GCF(4006,4020) = 2

We will now calculate the prime factors of 4006 and 4020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4006 and 4020.

How to find the GCF of 4006 and 4020?

We will first find the prime factorization of 4006 and 4020. After we will calculate the factors of 4006 and 4020 and find the biggest common factor number .

Step-1: Prime Factorization of 4006

Prime factors of 4006 are 2, 2003. Prime factorization of 4006 in exponential form is:

4006 = 2¹ × 2003¹

Step-2: Prime Factorization of 4020

Prime factors of 4020 are 2, 3, 5, 67. Prime factorization of 4020 in exponential form is:

4020 = 2² × 3¹ × 5¹ × 67¹

Step-3: Factors of 4006

List of positive integer factors of 4006 that divides 4006 without a remainder.

1, 2, 2003

Step-4: Factors of 4020

List of positive integer factors of 4020 that divides 4006 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4006 and 4020. The biggest common factor number is the GCF number.
So the greatest common factor 4006 and 4020 is 2.

Also check out the Least Common Multiple of 4006 and 4020