Greatest Common Factor of 2 and 6

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

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

GCF(2,6) = 2

GCF of 2 and 6

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

GCF of:
and

Greatest Common Factor of 2 and 6

GCF of 2 and 6 is 2

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 6


2 6
3 3
1

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

6 = 21×31

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

Greatest Common Factor of 2 and 6 by matching factors method

Factors of 2

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

1,2

Factors of 6

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

1,2,3,6

Greatest Common Factor

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

Also check out the Least Common Multiple of 2 and 6

Properties of GCF 2 and 6

(i) The GCF of 2 and 6 is associative

GCF of 2 and 6 = GCF of 6 and 2

Related Greatest Common Factor of 2

Related Greatest Common Factor of 6

Frequently Asked Questions on GCF of 2 and 6

1. What is the GCF of 2 and 6?

Answer: GCF of 2 and 6 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 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.

4. How to Find the GCF of 2 and 6?

Answer:

Greatest Common Factor of 2 and 6 = 2

Step 1: Find the prime factorization of 2

2 = 2

Step 2: Find the prime factorization of 6

6 = 2 x 3

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 6 is 2