Greatest Common Factor of 1696 and 1698

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 1696, 1698 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1696 and 1698 is 2.

GCF(1696,1698) = 2

GCF of 1696 and 1698

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

GCF of:
and

Greatest Common Factor of 1696 and 1698

GCF of 1696 and 1698 is 2

Prime Factorization of 1696


2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 1696 are 2,53. Prime factorization of 1696 in exponential form is:

1696 = 25×531

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

∴ So by taking common prime factors GCF of 1696 and 1698 is 2

Greatest Common Factor of 1696 and 1698 by matching factors method

Factors of 1696

List of positive integer factors of 1696 that divides 1696 without a remainder.

1,2,4,8,16,32,53,106,212,424,848,1696

Factors of 1698

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

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

Greatest Common Factor

We found the factors and prime factorization of 1696 and 1698. The biggest common factor number is the GCF number.
So the greatest common factor 1696 and 1698 is 2.

Also check out the Least Common Multiple of 1696 and 1698

Properties of GCF 1696 and 1698

(i) The GCF of 1696 and 1698 is associative

GCF of 1696 and 1698 = GCF of 1698 and 1696

Related Greatest Common Factor of 1696

Related Greatest Common Factor of 1698

Frequently Asked Questions on GCF of 1696 and 1698

1. What is the GCF of 1696 and 1698?

Answer: GCF of 1696 and 1698 is 2.

2. What are the Factors of 1696?

Answer: Factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696. There are 12 integers that are factors of 1696. The greatest factor of 1696 is 1696.

3. 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.

4. How to Find the GCF of 1696 and 1698?

Answer:

Greatest Common Factor of 1696 and 1698 = 2

Step 1: Find the prime factorization of 1696

1696 = 2 x 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 1698

1698 = 2 x 3 x 283

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 1696 and 1698 is 2