Greatest Common Factor of 1698 and 1701

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, 1701 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1698 and 1701 is 3.

GCF(1698,1701) = 3

GCF of 1698 and 1701

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

GCF of:
and

Greatest Common Factor of 1698 and 1701

GCF of 1698 and 1701 is 3

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 1701


3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1701 are 3,7. Prime factorization of 1701 in exponential form is:

1701 = 35×71

∴ So by taking common prime factors GCF of 1698 and 1701 is 3

Greatest Common Factor of 1698 and 1701 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 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1,3,7,9,21,27,63,81,189,243,567,1701

Greatest Common Factor

We found the factors and prime factorization of 1698 and 1701. The biggest common factor number is the GCF number.
So the greatest common factor 1698 and 1701 is 3.

Also check out the Least Common Multiple of 1698 and 1701

Properties of GCF 1698 and 1701

(i) The GCF of 1698 and 1701 is associative

GCF of 1698 and 1701 = GCF of 1701 and 1698

Related Greatest Common Factor of 1698

Related Greatest Common Factor of 1701

Frequently Asked Questions on GCF of 1698 and 1701

1. What is the GCF of 1698 and 1701?

Answer: GCF of 1698 and 1701 is 3.

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 1701?

Answer: Factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701. There are 12 integers that are factors of 1701. The greatest factor of 1701 is 1701.

4. How to Find the GCF of 1698 and 1701?

Answer:

Greatest Common Factor of 1698 and 1701 = 3

Step 1: Find the prime factorization of 1698

1698 = 2 x 3 x 283

Step 2: Find the prime factorization of 1701

1701 = 3 x 3 x 3 x 3 x 3 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1698 and 1701 is 3