Greatest Common Factor of 16 and 8

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 16, 8 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16 and 8 is 8.

GCF(16,8) = 8

GCF of 16 and 8

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

GCF of:
and

Greatest Common Factor of 16 and 8

GCF of 16 and 8 is 8

Prime Factorization of 16


2 16
2 8
2 4
2 2
1

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 24

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 16 and 8 is 8

Greatest Common Factor of 16 and 8 by matching factors method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 16 and 8. The biggest common factor number is the GCF number.
So the greatest common factor 16 and 8 is 8.

Also check out the Least Common Multiple of 16 and 8

Properties of GCF 16 and 8

(i) The GCF of 16 and 8 is associative

GCF of 16 and 8 = GCF of 8 and 16

Related Greatest Common Factor of 16

Related Greatest Common Factor of 8

Frequently Asked Questions on GCF of 16 and 8

1. What is the GCF of 16 and 8?

Answer: GCF of 16 and 8 is 8.

2. What are the Factors of 16?

Answer: Factors of 16 are 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest factor of 16 is 16.

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 16 and 8?

Answer:

Greatest Common Factor of 16 and 8 = 8

Step 1: Find the prime factorization of 16

16 = 2 x 2 x 2 x 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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 16 and 8 is 8