Greatest Common Factor of 1715 and 1721

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, 1721 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1715 and 1721 is 1.

GCF(1715,1721) = 1

GCF of 1715 and 1721

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

GCF of:
and

Greatest Common Factor of 1715 and 1721

GCF of 1715 and 1721 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 1721


1721 1721
1

Prime factors of 1721 are 1721. Prime factorization of 1721 in exponential form is:

1721 = 17211

∴ So by taking common prime factors GCF of 1715 and 1721 is 1

Greatest Common Factor of 1715 and 1721 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 1721

List of positive integer factors of 1721 that divides 1721 without a remainder.

1,1721

Greatest Common Factor

We found the factors and prime factorization of 1715 and 1721. The biggest common factor number is the GCF number.
So the greatest common factor 1715 and 1721 is 1.

Also check out the Least Common Multiple of 1715 and 1721

Properties of GCF 1715 and 1721

(i) The GCF of 1715 and 1721 is associative

GCF of 1715 and 1721 = GCF of 1721 and 1715

Related Greatest Common Factor of 1715

Related Greatest Common Factor of 1721

Frequently Asked Questions on GCF of 1715 and 1721

1. What is the GCF of 1715 and 1721?

Answer: GCF of 1715 and 1721 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 1721?

Answer: Factors of 1721 are 1, 1721. There are 2 integers that are factors of 1721. The greatest factor of 1721 is 1721.

4. How to Find the GCF of 1715 and 1721?

Answer:

Greatest Common Factor of 1715 and 1721 = 1

Step 1: Find the prime factorization of 1715

1715 = 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 1721

1721 = 1721

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 1721 is 1