Greatest Common Factor of 1714 and 1722

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, 1722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1714 and 1722 is 2.

GCF(1714,1722) = 2

GCF of 1714 and 1722

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

GCF of:
and

Greatest Common Factor of 1714 and 1722

GCF of 1714 and 1722 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 1722


2 1722
3 861
7 287
41 41
1

Prime factors of 1722 are 2,3,7,41. Prime factorization of 1722 in exponential form is:

1722 = 21×31×71×411

∴ So by taking common prime factors GCF of 1714 and 1722 is 2

Greatest Common Factor of 1714 and 1722 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 1722

List of positive integer factors of 1722 that divides 1722 without a remainder.

1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722

Greatest Common Factor

We found the factors and prime factorization of 1714 and 1722. The biggest common factor number is the GCF number.
So the greatest common factor 1714 and 1722 is 2.

Also check out the Least Common Multiple of 1714 and 1722

Properties of GCF 1714 and 1722

(i) The GCF of 1714 and 1722 is associative

GCF of 1714 and 1722 = GCF of 1722 and 1714

Related Greatest Common Factor of 1714

Related Greatest Common Factor of 1722

Frequently Asked Questions on GCF of 1714 and 1722

1. What is the GCF of 1714 and 1722?

Answer: GCF of 1714 and 1722 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 1722?

Answer: Factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722. There are 16 integers that are factors of 1722. The greatest factor of 1722 is 1722.

4. How to Find the GCF of 1714 and 1722?

Answer:

Greatest Common Factor of 1714 and 1722 = 2

Step 1: Find the prime factorization of 1714

1714 = 2 x 857

Step 2: Find the prime factorization of 1722

1722 = 2 x 3 x 7 x 41

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 1722 is 2