Greatest Common Factor of 1694 and 1700

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 1694, 1700 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1694 and 1700 is 2.

GCF(1694,1700) = 2

GCF of 1694 and 1700

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

GCF of:
and

Greatest Common Factor of 1694 and 1700

GCF of 1694 and 1700 is 2

Prime Factorization of 1694


2 1694
7 847
11 121
11 11
1

Prime factors of 1694 are 2,7,11. Prime factorization of 1694 in exponential form is:

1694 = 21×71×112

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

∴ So by taking common prime factors GCF of 1694 and 1700 is 2

Greatest Common Factor of 1694 and 1700 by matching factors method

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1,2,7,11,14,22,77,121,154,242,847,1694

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

Greatest Common Factor

We found the factors and prime factorization of 1694 and 1700. The biggest common factor number is the GCF number.
So the greatest common factor 1694 and 1700 is 2.

Also check out the Least Common Multiple of 1694 and 1700

Properties of GCF 1694 and 1700

(i) The GCF of 1694 and 1700 is associative

GCF of 1694 and 1700 = GCF of 1700 and 1694

Related Greatest Common Factor of 1694

Related Greatest Common Factor of 1700

Frequently Asked Questions on GCF of 1694 and 1700

1. What is the GCF of 1694 and 1700?

Answer: GCF of 1694 and 1700 is 2.

2. What are the Factors of 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

3. 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.

4. How to Find the GCF of 1694 and 1700?

Answer:

Greatest Common Factor of 1694 and 1700 = 2

Step 1: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

Step 2: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

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 1694 and 1700 is 2