Greatest Common Factor of 1719 and 1725

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 1719, 1725 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1719 and 1725 is 3.

GCF(1719,1725) = 3

GCF of 1719 and 1725

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

GCF of:
and

Greatest Common Factor of 1719 and 1725

GCF of 1719 and 1725 is 3

Prime Factorization of 1719


3 1719
3 573
191 191
1

Prime factors of 1719 are 3,191. Prime factorization of 1719 in exponential form is:

1719 = 32×1911

Prime Factorization of 1725


3 1725
5 575
5 115
23 23
1

Prime factors of 1725 are 3,5,23. Prime factorization of 1725 in exponential form is:

1725 = 31×52×231

∴ So by taking common prime factors GCF of 1719 and 1725 is 3

Greatest Common Factor of 1719 and 1725 by matching factors method

Factors of 1719

List of positive integer factors of 1719 that divides 1719 without a remainder.

1,3,9,191,573,1719

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors and prime factorization of 1719 and 1725. The biggest common factor number is the GCF number.
So the greatest common factor 1719 and 1725 is 3.

Also check out the Least Common Multiple of 1719 and 1725

Properties of GCF 1719 and 1725

(i) The GCF of 1719 and 1725 is associative

GCF of 1719 and 1725 = GCF of 1725 and 1719

Related Greatest Common Factor of 1719

Related Greatest Common Factor of 1725

Frequently Asked Questions on GCF of 1719 and 1725

1. What is the GCF of 1719 and 1725?

Answer: GCF of 1719 and 1725 is 3.

2. What are the Factors of 1719?

Answer: Factors of 1719 are 1, 3, 9, 191, 573, 1719. There are 6 integers that are factors of 1719. The greatest factor of 1719 is 1719.

3. What are the Factors of 1725?

Answer: Factors of 1725 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725. There are 12 integers that are factors of 1725. The greatest factor of 1725 is 1725.

4. How to Find the GCF of 1719 and 1725?

Answer:

Greatest Common Factor of 1719 and 1725 = 3

Step 1: Find the prime factorization of 1719

1719 = 3 x 3 x 191

Step 2: Find the prime factorization of 1725

1725 = 3 x 5 x 5 x 23

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 1719 and 1725 is 3