# Greatest Common Factor of 2019 and 2023

Greatest common factor (GCF) of 2019 and 2023 is 1.

GCF(2019,2023) = 1

We will now calculate the prime factors of 2019 and 2023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2019 and 2023.

GCF Calculator and

## Prime Factorization of 2019

Prime factors of 2019 are 3, 673. Prime factorization of 2019 in exponential form is:

2019 = 31 × 6731

## Prime Factorization of 2023

Prime factors of 2023 are 7, 17. Prime factorization of 2023 in exponential form is:

2023 = 71 × 172

### Factors of 2019

List of positive integer factors of 2019 that divides 2019 without a remainder.

1, 3, 673

### Factors of 2023

List of positive integer factors of 2023 that divides 2019 without a remainder.

1, 7, 17, 119, 289

### Greatest Common Factor

We found the factors and prime factorization of 2019 and 2023. The biggest common factor number is the GCF number.
So the greatest common factor 2019 and 2023 is 1.

Also check out the Least Common Multiple of 2019 and 2023