Greatest Common Factor of 3 and 17

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

Greatest common factor (GCF) of 3 and 17 is 1.

GCF(3,17) = 1

GCF of 3 and 17

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

GCF of:
and

Greatest Common Factor of 3 and 17

GCF of 3 and 17 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 17


17 17
1

Prime factors of 17 are 17.Prime factorization of 17 in exponential form is:

17 = 171

∴ So by taking common prime factors GCF of 3 and 17 is 1

Greatest Common Factor of 3 and 17 by matching factors method

Factors of 3

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

1,3

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors and prime factorization of 3 and 17. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 17 is 1.

Also check out the Least Common Multiple of 3 and 17

Properties of GCF 3 and 17

(i) The GCF of 3 and 17 is associative

GCF of 3 and 17 = GCF of 17 and 3

Related Greatest Common Factor of 3

Related Greatest Common Factor of 17

Frequently Asked Questions on GCF of 3 and 17

1. What is the GCF of 3 and 17?

Answer: GCF of 3 and 17 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 17?

Answer: Factors of 17 are 1, 17. There are 2 integers that are factors of 17. The greatest factor of 17 is 17.

4. How to Find the GCF of 3 and 17?

Answer:

Greatest Common Factor of 3 and 17 = 1

Step 1: Find the prime factorization of 3

3 = 3

Step 2: Find the prime factorization of 17

17 = 17

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 17 is 1