Greatest Common Factor of 1698 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 1698, 1700 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1698 and 1700 is 2.

GCF(1698,1700) = 2

GCF of 1698 and 1700

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

GCF of:
and

Greatest Common Factor of 1698 and 1700

GCF of 1698 and 1700 is 2

Prime Factorization of 1698


2 1698
3 849
283 283
1

Prime factors of 1698 are 2,3,283. Prime factorization of 1698 in exponential form is:

1698 = 21×31×2831

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 1698 and 1700 is 2

Greatest Common Factor of 1698 and 1700 by matching factors method

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1,2,3,6,283,566,849,1698

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 1698 and 1700. The biggest common factor number is the GCF number.
So the greatest common factor 1698 and 1700 is 2.

Also check out the Least Common Multiple of 1698 and 1700

Properties of GCF 1698 and 1700

(i) The GCF of 1698 and 1700 is associative

GCF of 1698 and 1700 = GCF of 1700 and 1698

Related Greatest Common Factor of 1698

Related Greatest Common Factor of 1700

Frequently Asked Questions on GCF of 1698 and 1700

1. What is the GCF of 1698 and 1700?

Answer: GCF of 1698 and 1700 is 2.

2. What are the Factors of 1698?

Answer: Factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698. There are 8 integers that are factors of 1698. The greatest factor of 1698 is 1698.

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 1698 and 1700?

Answer:

Greatest Common Factor of 1698 and 1700 = 2

Step 1: Find the prime factorization of 1698

1698 = 2 x 3 x 283

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 1698 and 1700 is 2