Greatest Common Factor of 1700 and 1706

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 1700, 1706 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1700 and 1706 is 2.

GCF(1700,1706) = 2

GCF of 1700 and 1706

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

GCF of:
and

Greatest Common Factor of 1700 and 1706

GCF of 1700 and 1706 is 2

Prime Factorization of 1700


2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 1700 are 2,5,17. Prime factorization of 1700 in exponential form is:

1700 = 22×52×171

Prime Factorization of 1706


2 1706
853 853
1

Prime factors of 1706 are 2,853. Prime factorization of 1706 in exponential form is:

1706 = 21×8531

∴ So by taking common prime factors GCF of 1700 and 1706 is 2

Greatest Common Factor of 1700 and 1706 by matching factors method

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Factors of 1706

List of positive integer factors of 1706 that divides 1706 without a remainder.

1,2,853,1706

Greatest Common Factor

We found the factors and prime factorization of 1700 and 1706. The biggest common factor number is the GCF number.
So the greatest common factor 1700 and 1706 is 2.

Also check out the Least Common Multiple of 1700 and 1706

Properties of GCF 1700 and 1706

(i) The GCF of 1700 and 1706 is associative

GCF of 1700 and 1706 = GCF of 1706 and 1700

Related Greatest Common Factor of 1700

Related Greatest Common Factor of 1706

Frequently Asked Questions on GCF of 1700 and 1706

1. What is the GCF of 1700 and 1706?

Answer: GCF of 1700 and 1706 is 2.

2. What are the Factors of 1700?

Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.

3. What are the Factors of 1706?

Answer: Factors of 1706 are 1, 2, 853, 1706. There are 4 integers that are factors of 1706. The greatest factor of 1706 is 1706.

4. How to Find the GCF of 1700 and 1706?

Answer:

Greatest Common Factor of 1700 and 1706 = 2

Step 1: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 1706

1706 = 2 x 853

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 1700 and 1706 is 2