Greatest Common Factor of 1715 and 1723

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 1715, 1723 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1715 and 1723 is 1.

GCF(1715,1723) = 1

GCF of 1715 and 1723

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

GCF of:
and

Greatest Common Factor of 1715 and 1723

GCF of 1715 and 1723 is 1

Prime Factorization of 1715


5 1715
7 343
7 49
7 7
1

Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:

1715 = 51×73

Prime Factorization of 1723


1723 1723
1

Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:

1723 = 17231

∴ So by taking common prime factors GCF of 1715 and 1723 is 1

Greatest Common Factor of 1715 and 1723 by matching factors method

Factors of 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1,5,7,35,49,245,343,1715

Factors of 1723

List of positive integer factors of 1723 that divides 1723 without a remainder.

1,1723

Greatest Common Factor

We found the factors and prime factorization of 1715 and 1723. The biggest common factor number is the GCF number.
So the greatest common factor 1715 and 1723 is 1.

Also check out the Least Common Multiple of 1715 and 1723

Properties of GCF 1715 and 1723

(i) The GCF of 1715 and 1723 is associative

GCF of 1715 and 1723 = GCF of 1723 and 1715

Related Greatest Common Factor of 1715

Related Greatest Common Factor of 1723

Frequently Asked Questions on GCF of 1715 and 1723

1. What is the GCF of 1715 and 1723?

Answer: GCF of 1715 and 1723 is 1.

2. What are the Factors of 1715?

Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.

3. What are the Factors of 1723?

Answer: Factors of 1723 are 1, 1723. There are 2 integers that are factors of 1723. The greatest factor of 1723 is 1723.

4. How to Find the GCF of 1715 and 1723?

Answer:

Greatest Common Factor of 1715 and 1723 = 1

Step 1: Find the prime factorization of 1715

1715 = 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 1723

1723 = 1723

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 1715 and 1723 is 1