# Greatest Common Factor of 2000 and 2005

Greatest common factor (GCF) of 2000 and 2005 is 5.

GCF(2000,2005) = 5

We will now calculate the prime factors of 2000 and 2005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2000 and 2005.

GCF Calculator and

## Prime Factorization of 2000

Prime factors of 2000 are 2, 5. Prime factorization of 2000 in exponential form is:

2000 = 24 × 53

## Prime Factorization of 2005

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

2005 = 51 × 4011

### Factors of 2000

List of positive integer factors of 2000 that divides 2000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000

### Factors of 2005

List of positive integer factors of 2005 that divides 2000 without a remainder.

1, 5, 401

### Greatest Common Factor

We found the factors and prime factorization of 2000 and 2005. The biggest common factor number is the GCF number.
So the greatest common factor 2000 and 2005 is 5.

Also check out the Least Common Multiple of 2000 and 2005