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Greatest Common Factor of 725 and 729

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 725, 729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 725 and 729 is 1.

GCF(725,729) = 1

GCF of 725 and 729

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

GCF of:
and

Greatest Common Factor of 725 and 729 by Prime factorization method

Prime Factorization of 725


5 725
5 145
29 29
1

Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:

725 = 52×291

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

∴ So by taking common prime factors GCF of 725 and 729 is 1

Greatest Common Factor of 725 and 729 by matching factors method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 729

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

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

Greatest Common Factor

We found the factors and prime factorization of 725 and 729. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 729 is 1.

Also check out the Least Common Multiple of 725 and 729

Properties of GCF 725 and 729

(i) The GCF of 725 and 729 is associative

GCF of 725 and 729 = GCF of 729 and 725

Frequently Asked Questions on GCF of 725 and 729

1. What is the GCF of 725 and 729?

Answer: GCF of 725 and 729 is 1.

2. What are the Factors of 725?

Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.

3. 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.

4. How to Find the GCF of 725 and 729?

Answer:

Greatest Common Factor of 725 and 729 = 1

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 729

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

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 725 and 729 is 1