Greatest Common Factor of 1689 and 1696

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 1689, 1696 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1689 and 1696 is 1.

GCF(1689,1696) = 1

GCF of 1689 and 1696

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

GCF of:
and

Greatest Common Factor of 1689 and 1696

GCF of 1689 and 1696 is 1

Prime Factorization of 1689


3 1689
563 563
1

Prime factors of 1689 are 3,563. Prime factorization of 1689 in exponential form is:

1689 = 31×5631

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

∴ So by taking common prime factors GCF of 1689 and 1696 is 1

Greatest Common Factor of 1689 and 1696 by matching factors method

Factors of 1689

List of positive integer factors of 1689 that divides 1689 without a remainder.

1,3,563,1689

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

Greatest Common Factor

We found the factors and prime factorization of 1689 and 1696. The biggest common factor number is the GCF number.
So the greatest common factor 1689 and 1696 is 1.

Also check out the Least Common Multiple of 1689 and 1696

Properties of GCF 1689 and 1696

(i) The GCF of 1689 and 1696 is associative

GCF of 1689 and 1696 = GCF of 1696 and 1689

Related Greatest Common Factor of 1689

Related Greatest Common Factor of 1696

Frequently Asked Questions on GCF of 1689 and 1696

1. What is the GCF of 1689 and 1696?

Answer: GCF of 1689 and 1696 is 1.

2. What are the Factors of 1689?

Answer: Factors of 1689 are 1, 3, 563, 1689. There are 4 integers that are factors of 1689. The greatest factor of 1689 is 1689.

3. 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.

4. How to Find the GCF of 1689 and 1696?

Answer:

Greatest Common Factor of 1689 and 1696 = 1

Step 1: Find the prime factorization of 1689

1689 = 3 x 563

Step 2: Find the prime factorization of 1696

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

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1689 and 1696 is 1