# Greatest Common Factor of 8 and 10

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8, 10 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8 and 10 is 2.

GCF(8,10) = 2

## GCF of 8 and 10

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

GCF of:
and

### Greatest Common Factor of 8 and 10 by Prime factorization method

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

Prime Factorization of 10

 2 10 5 5 1

Prime factors of 10 are 2.Prime factorization of 10 in exponential form is:

10 = 21×51

∴ So by taking common prime factors GCF of 8 and 10 is 2

### Greatest Common Factor of 8 and 10 by matching factors method

Factors of 8

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

1,2,4,8

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors and prime factorization of 8 and 10. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 10 is 2.

Also check out the Least Common Multiple of 8 and 10

### Properties of GCF 8 and 10

(i) The GCF of 8 and 10 is associative

GCF of 8 and 10 = GCF of 10 and 8

### Frequently Asked Questions on GCF of 8 and 10

1. What is the GCF of 8 and 10?

Answer: GCF of 8 and 10 is 2.

2. 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.

3. What are the Factors of 10?

Answer: Factors of 10 are 1, 2, 5, 10. There are 4 integers that are factors of 10. The greatest factor of 10 is 10.

4. How to Find the GCF of 8 and 10?

Greatest Common Factor of 8 and 10 = 2

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 10

10 = 2 x 5

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 8 and 10 is 2