Greatest Common Factor of 715 and 721

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 715, 721 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 715 and 721 is 1.

GCF(715,721) = 1

GCF of 715 and 721

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

GCF of:
and

Greatest Common Factor of 715 and 721

GCF of 715 and 721 is 1

Prime Factorization of 715


5 715
11 143
13 13
1

Prime factors of 715 are 5,11,13. Prime factorization of 715 in exponential form is:

715 = 51×111×131

Prime Factorization of 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

∴ So by taking common prime factors GCF of 715 and 721 is 1

Greatest Common Factor of 715 and 721 by matching factors method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors and prime factorization of 715 and 721. The biggest common factor number is the GCF number.
So the greatest common factor 715 and 721 is 1.

Also check out the Least Common Multiple of 715 and 721

Properties of GCF 715 and 721

(i) The GCF of 715 and 721 is associative

GCF of 715 and 721 = GCF of 721 and 715

Related Greatest Common Factor of 715

Related Greatest Common Factor of 721

Frequently Asked Questions on GCF of 715 and 721

1. What is the GCF of 715 and 721?

Answer: GCF of 715 and 721 is 1.

2. What are the Factors of 715?

Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.

3. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

4. How to Find the GCF of 715 and 721?

Answer:

Greatest Common Factor of 715 and 721 = 1

Step 1: Find the prime factorization of 715

715 = 5 x 11 x 13

Step 2: Find the prime factorization of 721

721 = 7 x 103

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 715 and 721 is 1