Greatest Common Factor of 1684 and 1689

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 1684, 1689 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1684 and 1689 is 1.

GCF(1684,1689) = 1

GCF of 1684 and 1689

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

GCF of:
and

Greatest Common Factor of 1684 and 1689

GCF of 1684 and 1689 is 1

Prime Factorization of 1684


2 1684
2 842
421 421
1

Prime factors of 1684 are 2,421. Prime factorization of 1684 in exponential form is:

1684 = 22×4211

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

∴ So by taking common prime factors GCF of 1684 and 1689 is 1

Greatest Common Factor of 1684 and 1689 by matching factors method

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Factors of 1689

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

1,3,563,1689

Greatest Common Factor

We found the factors and prime factorization of 1684 and 1689. The biggest common factor number is the GCF number.
So the greatest common factor 1684 and 1689 is 1.

Also check out the Least Common Multiple of 1684 and 1689

Properties of GCF 1684 and 1689

(i) The GCF of 1684 and 1689 is associative

GCF of 1684 and 1689 = GCF of 1689 and 1684

Related Greatest Common Factor of 1684

Related Greatest Common Factor of 1689

Frequently Asked Questions on GCF of 1684 and 1689

1. What is the GCF of 1684 and 1689?

Answer: GCF of 1684 and 1689 is 1.

2. What are the Factors of 1684?

Answer: Factors of 1684 are 1, 2, 4, 421, 842, 1684. There are 6 integers that are factors of 1684. The greatest factor of 1684 is 1684.

3. 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.

4. How to Find the GCF of 1684 and 1689?

Answer:

Greatest Common Factor of 1684 and 1689 = 1

Step 1: Find the prime factorization of 1684

1684 = 2 x 2 x 421

Step 2: Find the prime factorization of 1689

1689 = 3 x 563

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 1684 and 1689 is 1