Greatest Common Factor of 1714 and 1718

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 1714, 1718 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1714 and 1718 is 2.

GCF(1714,1718) = 2

GCF of 1714 and 1718

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

GCF of:
and

Greatest Common Factor of 1714 and 1718

GCF of 1714 and 1718 is 2

Prime Factorization of 1714


2 1714
857 857
1

Prime factors of 1714 are 2,857. Prime factorization of 1714 in exponential form is:

1714 = 21×8571

Prime Factorization of 1718


2 1718
859 859
1

Prime factors of 1718 are 2,859. Prime factorization of 1718 in exponential form is:

1718 = 21×8591

∴ So by taking common prime factors GCF of 1714 and 1718 is 2

Greatest Common Factor of 1714 and 1718 by matching factors method

Factors of 1714

List of positive integer factors of 1714 that divides 1714 without a remainder.

1,2,857,1714

Factors of 1718

List of positive integer factors of 1718 that divides 1718 without a remainder.

1,2,859,1718

Greatest Common Factor

We found the factors and prime factorization of 1714 and 1718. The biggest common factor number is the GCF number.
So the greatest common factor 1714 and 1718 is 2.

Also check out the Least Common Multiple of 1714 and 1718

Properties of GCF 1714 and 1718

(i) The GCF of 1714 and 1718 is associative

GCF of 1714 and 1718 = GCF of 1718 and 1714

Related Greatest Common Factor of 1714

Related Greatest Common Factor of 1718

Frequently Asked Questions on GCF of 1714 and 1718

1. What is the GCF of 1714 and 1718?

Answer: GCF of 1714 and 1718 is 2.

2. What are the Factors of 1714?

Answer: Factors of 1714 are 1, 2, 857, 1714. There are 4 integers that are factors of 1714. The greatest factor of 1714 is 1714.

3. What are the Factors of 1718?

Answer: Factors of 1718 are 1, 2, 859, 1718. There are 4 integers that are factors of 1718. The greatest factor of 1718 is 1718.

4. How to Find the GCF of 1714 and 1718?

Answer:

Greatest Common Factor of 1714 and 1718 = 2

Step 1: Find the prime factorization of 1714

1714 = 2 x 857

Step 2: Find the prime factorization of 1718

1718 = 2 x 859

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 1714 and 1718 is 2