Greatest Common Factor of 1698 and 1702

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, 1702 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1698 and 1702 is 2.

GCF(1698,1702) = 2

GCF of 1698 and 1702

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

GCF of:
and

Greatest Common Factor of 1698 and 1702

GCF of 1698 and 1702 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 1702


2 1702
23 851
37 37
1

Prime factors of 1702 are 2,23,37. Prime factorization of 1702 in exponential form is:

1702 = 21×231×371

∴ So by taking common prime factors GCF of 1698 and 1702 is 2

Greatest Common Factor of 1698 and 1702 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 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1,2,23,37,46,74,851,1702

Greatest Common Factor

We found the factors and prime factorization of 1698 and 1702. The biggest common factor number is the GCF number.
So the greatest common factor 1698 and 1702 is 2.

Also check out the Least Common Multiple of 1698 and 1702

Properties of GCF 1698 and 1702

(i) The GCF of 1698 and 1702 is associative

GCF of 1698 and 1702 = GCF of 1702 and 1698

Related Greatest Common Factor of 1698

Related Greatest Common Factor of 1702

Frequently Asked Questions on GCF of 1698 and 1702

1. What is the GCF of 1698 and 1702?

Answer: GCF of 1698 and 1702 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 1702?

Answer: Factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702. There are 8 integers that are factors of 1702. The greatest factor of 1702 is 1702.

4. How to Find the GCF of 1698 and 1702?

Answer:

Greatest Common Factor of 1698 and 1702 = 2

Step 1: Find the prime factorization of 1698

1698 = 2 x 3 x 283

Step 2: Find the prime factorization of 1702

1702 = 2 x 23 x 37

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 1702 is 2