Greatest Common Factor of 1689 and 1695

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, 1695 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1689 and 1695 is 3.

GCF(1689,1695) = 3

GCF of 1689 and 1695

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

GCF of:
and

Greatest Common Factor of 1689 and 1695

GCF of 1689 and 1695 is 3

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 1695


3 1695
5 565
113 113
1

Prime factors of 1695 are 3,5,113. Prime factorization of 1695 in exponential form is:

1695 = 31×51×1131

∴ So by taking common prime factors GCF of 1689 and 1695 is 3

Greatest Common Factor of 1689 and 1695 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 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1,3,5,15,113,339,565,1695

Greatest Common Factor

We found the factors and prime factorization of 1689 and 1695. The biggest common factor number is the GCF number.
So the greatest common factor 1689 and 1695 is 3.

Also check out the Least Common Multiple of 1689 and 1695

Properties of GCF 1689 and 1695

(i) The GCF of 1689 and 1695 is associative

GCF of 1689 and 1695 = GCF of 1695 and 1689

Related Greatest Common Factor of 1689

Related Greatest Common Factor of 1695

Frequently Asked Questions on GCF of 1689 and 1695

1. What is the GCF of 1689 and 1695?

Answer: GCF of 1689 and 1695 is 3.

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 1695?

Answer: Factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695. There are 8 integers that are factors of 1695. The greatest factor of 1695 is 1695.

4. How to Find the GCF of 1689 and 1695?

Answer:

Greatest Common Factor of 1689 and 1695 = 3

Step 1: Find the prime factorization of 1689

1689 = 3 x 563

Step 2: Find the prime factorization of 1695

1695 = 3 x 5 x 113

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 1689 and 1695 is 3