Greatest Common Factor of 729 and 731

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 729, 731 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 729 and 731 is 1.

GCF(729,731) = 1

GCF of 729 and 731

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

GCF of:
and

Greatest Common Factor of 729 and 731

GCF of 729 and 731 is 1

Prime Factorization of 729


3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:

729 = 36

Prime Factorization of 731


17 731
43 43
1

Prime factors of 731 are 17.Prime factorization of 731 in exponential form is:

731 = 171×431

∴ So by taking common prime factors GCF of 729 and 731 is 1

Greatest Common Factor of 729 and 731 by matching factors method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors and prime factorization of 729 and 731. The biggest common factor number is the GCF number.
So the greatest common factor 729 and 731 is 1.

Also check out the Least Common Multiple of 729 and 731

Properties of GCF 729 and 731

(i) The GCF of 729 and 731 is associative

GCF of 729 and 731 = GCF of 731 and 729

Related Greatest Common Factor of 729

Related Greatest Common Factor of 731

Frequently Asked Questions on GCF of 729 and 731

1. What is the GCF of 729 and 731?

Answer: GCF of 729 and 731 is 1.

2. What are the Factors of 729?

Answer: Factors of 729 are 1, 3, 9, 27, 81, 243, 729. There are 7 integers that are factors of 729. The greatest factor of 729 is 729.

3. What are the Factors of 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

4. How to Find the GCF of 729 and 731?

Answer:

Greatest Common Factor of 729 and 731 = 1

Step 1: Find the prime factorization of 729

729 = 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 731

731 = 17 x 43

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 729 and 731 is 1