Greatest Common Factor of 81724 and 81729

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 81724, 81729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81724 and 81729 is 1.

GCF(81724,81729) = 1

GCF of 81724 and 81729

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

GCF of:
and

Greatest Common Factor of 81724 and 81729

GCF of 81724 and 81729 is 1

Prime Factorization of 81724


2 81724
2 40862
20431 20431
1

Prime factors of 81724 are 2,20431. Prime factorization of 81724 in exponential form is:

81724 = 22×204311

Prime Factorization of 81729


3 81729
3 27243
3 9081
3 3027
1009 1009
1

Prime factors of 81729 are 3,1009. Prime factorization of 81729 in exponential form is:

81729 = 34×10091

∴ So by taking common prime factors GCF of 81724 and 81729 is 1

Greatest Common Factor of 81724 and 81729 by matching factors method

Factors of 81724

List of positive integer factors of 81724 that divides 81724 without a remainder.

1,2,4,20431,40862,81724

Factors of 81729

List of positive integer factors of 81729 that divides 81729 without a remainder.

1,3,9,27,81,1009,3027,9081,27243,81729

Greatest Common Factor

We found the factors and prime factorization of 81724 and 81729. The biggest common factor number is the GCF number.
So the greatest common factor 81724 and 81729 is 1.

Also check out the Least Common Multiple of 81724 and 81729

Properties of GCF 81724 and 81729

(i) The GCF of 81724 and 81729 is associative

GCF of 81724 and 81729 = GCF of 81729 and 81724

Related Greatest Common Factor of 81724

Related Greatest Common Factor of 81729

Frequently Asked Questions on GCF of 81724 and 81729

1. What is the GCF of 81724 and 81729?

Answer: GCF of 81724 and 81729 is 1.

2. What are the Factors of 81724?

Answer: Factors of 81724 are 1, 2, 4, 20431, 40862, 81724. There are 6 integers that are factors of 81724. The greatest factor of 81724 is 81724.

3. What are the Factors of 81729?

Answer: Factors of 81729 are 1, 3, 9, 27, 81, 1009, 3027, 9081, 27243, 81729. There are 10 integers that are factors of 81729. The greatest factor of 81729 is 81729.

4. How to Find the GCF of 81724 and 81729?

Answer:

Greatest Common Factor of 81724 and 81729 = 1

Step 1: Find the prime factorization of 81724

81724 = 2 x 2 x 20431

Step 2: Find the prime factorization of 81729

81729 = 3 x 3 x 3 x 3 x 1009

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 81724 and 81729 is 1