Greatest Common Factor of 1708 and 1714

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 1708, 1714 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1708 and 1714 is 2.

GCF(1708,1714) = 2

GCF of 1708 and 1714

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

GCF of:
and

Greatest Common Factor of 1708 and 1714

GCF of 1708 and 1714 is 2

Prime Factorization of 1708


2 1708
2 854
7 427
61 61
1

Prime factors of 1708 are 2,7,61. Prime factorization of 1708 in exponential form is:

1708 = 22×71×611

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

∴ So by taking common prime factors GCF of 1708 and 1714 is 2

Greatest Common Factor of 1708 and 1714 by matching factors method

Factors of 1708

List of positive integer factors of 1708 that divides 1708 without a remainder.

1,2,4,7,14,28,61,122,244,427,854,1708

Factors of 1714

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

1,2,857,1714

Greatest Common Factor

We found the factors and prime factorization of 1708 and 1714. The biggest common factor number is the GCF number.
So the greatest common factor 1708 and 1714 is 2.

Also check out the Least Common Multiple of 1708 and 1714

Properties of GCF 1708 and 1714

(i) The GCF of 1708 and 1714 is associative

GCF of 1708 and 1714 = GCF of 1714 and 1708

Related Greatest Common Factor of 1708

Related Greatest Common Factor of 1714

Frequently Asked Questions on GCF of 1708 and 1714

1. What is the GCF of 1708 and 1714?

Answer: GCF of 1708 and 1714 is 2.

2. What are the Factors of 1708?

Answer: Factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708. There are 12 integers that are factors of 1708. The greatest factor of 1708 is 1708.

3. 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.

4. How to Find the GCF of 1708 and 1714?

Answer:

Greatest Common Factor of 1708 and 1714 = 2

Step 1: Find the prime factorization of 1708

1708 = 2 x 2 x 7 x 61

Step 2: Find the prime factorization of 1714

1714 = 2 x 857

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 1708 and 1714 is 2