Greatest Common Factor of 6 and 16

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 6, 16 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6 and 16 is 2.

GCF(6,16) = 2

GCF of 6 and 16

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

GCF of:
and

Greatest Common Factor of 6 and 16

GCF of 6 and 16 is 2

Prime Factorization of 6


2 6
3 3
1

Prime factors of 6 are 2,3. Prime factorization of 6 in exponential form is:

6 = 21×31

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

∴ So by taking common prime factors GCF of 6 and 16 is 2

Greatest Common Factor of 6 and 16 by matching factors method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 16

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

1,2,4,8,16

Greatest Common Factor

We found the factors and prime factorization of 6 and 16. The biggest common factor number is the GCF number.
So the greatest common factor 6 and 16 is 2.

Also check out the Least Common Multiple of 6 and 16

Properties of GCF 6 and 16

(i) The GCF of 6 and 16 is associative

GCF of 6 and 16 = GCF of 16 and 6

Related Greatest Common Factor of 6

Related Greatest Common Factor of 16

Frequently Asked Questions on GCF of 6 and 16

1. What is the GCF of 6 and 16?

Answer: GCF of 6 and 16 is 2.

2. What are the Factors of 6?

Answer: Factors of 6 are 1, 2, 3, 6. There are 4 integers that are factors of 6. The greatest factor of 6 is 6.

3. 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.

4. How to Find the GCF of 6 and 16?

Answer:

Greatest Common Factor of 6 and 16 = 2

Step 1: Find the prime factorization of 6

6 = 2 x 3

Step 2: Find the prime factorization of 16

16 = 2 x 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 6 and 16 is 2