# Greatest Common Factor of 21 and 35

Greatest common factor (GCF) of 21 and 35 is 7.

GCF(21,35) = 7

We will now calculate the prime factors of 21 and 35, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21 and 35.

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 35

Prime factors of 35 are 5, 7. Prime factorization of 35 in exponential form is:

35 = 51 × 71

### Factors of 21

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

1, 3, 7

### Factors of 35

List of positive integer factors of 35 that divides 21 without a remainder.

1, 5, 7

### Greatest Common Factor

We found the factors and prime factorization of 21 and 35. The biggest common factor number is the GCF number.
So the greatest common factor 21 and 35 is 7.

Also check out the Least Common Multiple of 21 and 35