# Greatest Common Factor of 105, 147, 189

GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 105, 147, 189 i.e. 21 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 105, 147, 189 is 21.

GCF(105, 147, 189) = 21

## GCF of 105, 147, 189

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

GCF of:

### Greatest Common Factor (GCF) of 105,147,189 By Common Division

 3 105, 147, 189 7 35, 49, 63 5, 7, 9

∴ So the GCF of the given numbers is 3 x 7 = 21

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

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 105,147,189 . The biggest common factor number is the GCF number.
So the greatest common factor 105,147,189 is 21.

### 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 105, 147, 189

1. What is the GCF of 105, 147, 189?

Answer: GCF of 105, 147, 189 is 21.

2. How to Find the GCF of 105, 147, 189

Answer: Greatest Common Factor(GCF) of 105, 147, 189 = 21

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

Step 2: Then multiply all the prime factors GCF(105, 147, 189) = 21.