# Greatest Common Factor of 21, 35, 49

GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 21, 35, 49 i.e. 7 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 21, 35, 49 is 7.

GCF(21, 35, 49) = 7

## GCF of 21, 35, 49

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

GCF of:

### Greatest Common Factor (GCF) of 21,35,49 By Common Division

 7 21, 35, 49 3, 5, 7

∴ So the GCF of the given numbers is 7 = 7

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

Factors of 21

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

1,3,7,21

Factors of 35

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

1,5,7,35

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 21,35,49 . The biggest common factor number is the GCF number.
So the greatest common factor 21,35,49 is 7.

### 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 21, 35, 49

1. What is the GCF of 21, 35, 49?

Answer: GCF of 21, 35, 49 is 7.

2. How to Find the GCF of 21, 35, 49

Answer: Greatest Common Factor(GCF) of 21, 35, 49 = 7

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

Step 2: Then multiply all the prime factors GCF(21, 35, 49) = 7.