Greatest Common Factor of 5 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 5, 6 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5 and 6 is 1.

GCF(5,6) = 1

GCF of 5 and 6

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

GCF of:
and

Greatest Common Factor of 5 and 6

GCF of 5 and 6 is 1

Prime Factorization of 5


5 5
1

Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

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 5 and 6 is 1

Greatest Common Factor of 5 and 6 by matching factors method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

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 5 and 6. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 6 is 1.

Also check out the Least Common Multiple of 5 and 6

Properties of GCF 5 and 6

(i) The GCF of 5 and 6 is associative

GCF of 5 and 6 = GCF of 6 and 5

Related Greatest Common Factor of 5

Related Greatest Common Factor of 6

Frequently Asked Questions on GCF of 5 and 6

1. What is the GCF of 5 and 6?

Answer: GCF of 5 and 6 is 1.

2. What are the Factors of 5?

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

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 5 and 6?

Answer:

Greatest Common Factor of 5 and 6 = 1

Step 1: Find the prime factorization of 5

5 = 5

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 = = 1

Step 4: Therefore, the greatest common factor of 5 and 6 is 1