# Greatest Common Factor of 2 and 8

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2, 8 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2 and 8 is 2.

GCF(2,8) = 2

## GCF of 2 and 8

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

### Greatest Common Factor of 2 and 8 by Prime factorization method

Prime Factorization of 2

 2 2 1

Prime factors of 2 are 2. Prime factorization of 2 in exponential form is:

2 = 21

Prime Factorization of 8

 2 8 2 4 2 2 1

Prime factors of 8 are 2.Prime factorization of 8 in exponential form is:

8 = 23

∴ So by taking common prime factors GCF of 2 and 8 is 2

### Greatest Common Factor of 2 and 8 by matching factors method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Greatest Common Factor

We found the factors and prime factorization of 2 and 8. The biggest common factor number is the GCF number.
So the greatest common factor 2 and 8 is 2.

Also check out the Least Common Multiple of 2 and 8

### Properties of GCF 2 and 8

(i) The GCF of 2 and 8 is associative

GCF of 2 and 8 = GCF of 8 and 2

### Frequently Asked Questions on GCF of 2 and 8

1. What is the GCF of 2 and 8?

Answer: GCF of 2 and 8 is 2.

2. What are the Factors of 2?

Answer: Factors of 2 are 1, 2. There are 2 integers that are factors of 2. The greatest factor of 2 is 2.

3. What are the Factors of 8?

Answer: Factors of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest factor of 8 is 8.

4. How to Find the GCF of 2 and 8?

Greatest Common Factor of 2 and 8 = 2

Step 1: Find the prime factorization of 2

2 = 2

Step 2: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2 and 8 is 2