GCF and LCM Calculator Logo

What is the Greatest Common Factor of 2005 and 2020?

Greatest common factor (GCF) of 2005 and 2020 is 5.

GCF(2005,2020) = 5

We will now calculate the prime factors of 2005 and 2020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2005 and 2020.

GCF Calculator and
and

How to find the GCF of 2005 and 2020?

We will first find the prime factorization of 2005 and 2020. After we will calculate the factors of 2005 and 2020 and find the biggest common factor number .

Step-1: Prime Factorization of 2005

Prime factors of 2005 are 5, 401. Prime factorization of 2005 in exponential form is:

2005 = 51 × 4011

Step-2: Prime Factorization of 2020

Prime factors of 2020 are 2, 5, 101. Prime factorization of 2020 in exponential form is:

2020 = 22 × 51 × 1011

Step-3: Factors of 2005

List of positive integer factors of 2005 that divides 2005 without a remainder.

1, 5, 401

Step-4: Factors of 2020

List of positive integer factors of 2020 that divides 2005 without a remainder.

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2005 and 2020. The biggest common factor number is the GCF number.
So the greatest common factor 2005 and 2020 is 5.

Also check out the Least Common Multiple of 2005 and 2020