# Greatest Common Factor of 9, 12, 21

GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 9, 12, 21 i.e. 3 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 9, 12, 21 is 3.

GCF(9, 12, 21) = 3

## GCF of 9, 12, 21

Greatest common factor or Greatest common divisor (GCD) can be calculated in two ways

GCF of:

### Greatest Common Factor (GCF) of 9,12,21 By Common Division

 3 9, 12, 21 3, 4, 7

∴ So the GCF of the given numbers is 3 = 3

### Greatest Common Factor (GCF) By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 21

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

1,3,7,21

Greatest Common Factor

We found the factors 9,12,21 . The biggest common factor number is the GCF number.
So the greatest common factor 9,12,21 is 3.

### GCF of two or more Numbers Calculation Examples

Here are some samples of GCF of two or more Numbers calculations.

### Frequently Asked Questions on GCF of 9, 12, 21

1. What is the GCF of 9, 12, 21?

Answer: GCF of 9, 12, 21 is 3.

2. How to Find the GCF of 9, 12, 21

Answer: Greatest Common Factor(GCF) of 9, 12, 21 = 3

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors GCF(9, 12, 21) = 3.