Greatest Common Factor of 3 and 5

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 3, 5 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3 and 5 is 1.

GCF(3,5) = 1

GCF of 3 and 5

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

GCF of:
and

Greatest Common Factor of 3 and 5

GCF of 3 and 5 is 1

Prime Factorization of 3


3 3
1

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

3 = 31

Prime Factorization of 5


5 5
1

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

5 = 51

∴ So by taking common prime factors GCF of 3 and 5 is 1

Greatest Common Factor of 3 and 5 by matching factors method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 5

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

1,5

Greatest Common Factor

We found the factors and prime factorization of 3 and 5. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 5 is 1.

Also check out the Least Common Multiple of 3 and 5

Properties of GCF 3 and 5

(i) The GCF of 3 and 5 is associative

GCF of 3 and 5 = GCF of 5 and 3

Related Greatest Common Factor of 3

Related Greatest Common Factor of 5

Frequently Asked Questions on GCF of 3 and 5

1. What is the GCF of 3 and 5?

Answer: GCF of 3 and 5 is 1.

2. What are the Factors of 3?

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

3. 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.

4. How to Find the GCF of 3 and 5?

Answer:

Greatest Common Factor of 3 and 5 = 1

Step 1: Find the prime factorization of 3

3 = 3

Step 2: Find the prime factorization of 5

5 = 5

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 3 and 5 is 1