The gcf (greatest common factor) of 10 and 15 is equal to 5. The greatest common factor of two integers is also called the greatest common divisor (gcd) or higher common factor (hcf) of the two integers.

You can get the gcf of 10 and 15 by retrieving all the factors (divisors) of 10 and 15 and by choosing the greatest common factor among the common factors of the two numbers:

List of the divisors of 10: 1; 2; 5; 10

List of the divisors of 15: 1; 3; 5; 15; 12

The common divisors of 10 and 15 are: 1 and 5. The greatest common divisor or greatest common factor or higher common factor of 10 and 15 is then 5.

The gcf of some couples of integers:

### GCF of 10 and 25:

**The gcf of 10 and 25 is 5 **

### GCF of 10 and 20:

**The gcf of 10 and 20 is 10**

### GCF of 10 and 12:

**The gcf of 10 and 12 is 2**

### GCF of 10 and 8:

**The gcf of 10 and 8 is 2 **

### GCF of 10 and 40:

**The gcf of 10 and 40 is 10**

### GCF of 10 and 30:

**The gcf of 10 and 30 is 10**

### GCF of 10 and 36:

**The gcf of 10 and 36 is 2**

### GCF of 15 and 20:

**The gcf of 15 and 20 is 5 **

### GCF of 15 and 30:

**The gcf of 15 and 30 is 15 **

### GCF of 15 and 25:

**The gcf of 15 and 25 is 5**

### GCF of 15 and 18:

**The gcf of 15 and 18 is 3**

### GCF of 15 and 35:

**The gcf of 15 and 35 is 5 **

### GCF of 15 and 36:

**The gcf of 15 and 36 is 3 **

**Multiples of 28**

You can get the gcf of 10 and 15 by retrieving all the factors (divisors) of 10 and 15 and by choosing the greatest common factor among the common factors of the two numbers:

List of the divisors of 10: 1; 2; 5; 10

List of the divisors of 15: 1; 3; 5; 15; 12

The common divisors of 10 and 15 are: 1 and 5. The greatest common divisor or greatest common factor or higher common factor of 10 and 15 is then 5.

The gcf of some couples of integers: