# Greatest Common Factor of 21 and 23

Greatest common factor (GCF) of 21 and 23 is 1.

GCF(21,23) = 1

We will now calculate the prime factors of 21 and 23, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21 and 23.

GCF Calculator and

## Prime Factorization of 21

Prime factors of 21 are 3, 7. Prime factorization of 21 in exponential form is:

21 = 31 × 71

## Prime Factorization of 23

Prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231

### Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1, 3, 7

### Factors of 23

List of positive integer factors of 23 that divides 21 without a remainder.

1

### Greatest Common Factor

We found the factors and prime factorization of 21 and 23. The biggest common factor number is the GCF number.
So the greatest common factor 21 and 23 is 1.

Also check out the Least Common Multiple of 21 and 23