Greatest Common Factor of 5 and 10

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, 10 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5 and 10 is 5.

GCF(5,10) = 5

GCF of 5 and 10

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

GCF of:
and

Greatest Common Factor of 5 and 10

GCF of 5 and 10 is 5

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 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 5 and 10 is 5

Greatest Common Factor of 5 and 10 by matching factors method

Factors of 5

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

1,5

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 5 and 10. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 10 is 5.

Also check out the Least Common Multiple of 5 and 10

Properties of GCF 5 and 10

(i) The GCF of 5 and 10 is associative

GCF of 5 and 10 = GCF of 10 and 5

Related Greatest Common Factor of 5

Related Greatest Common Factor of 10

Frequently Asked Questions on GCF of 5 and 10

1. What is the GCF of 5 and 10?

Answer: GCF of 5 and 10 is 5.

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 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 5 and 10?

Answer:

Greatest Common Factor of 5 and 10 = 5

Step 1: Find the prime factorization of 5

5 = 5

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 = 5

Step 4: Therefore, the greatest common factor of 5 and 10 is 5