Greatest Common Factor of 729 and 737

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

Greatest common factor (GCF) of 729 and 737 is 1.

GCF(729,737) = 1

GCF of 729 and 737

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

GCF of:
and

Greatest Common Factor of 729 and 737

GCF of 729 and 737 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 737


11 737
67 67
1

Prime factors of 737 are 11.Prime factorization of 737 in exponential form is:

737 = 111×671

∴ So by taking common prime factors GCF of 729 and 737 is 1

Greatest Common Factor of 729 and 737 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 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors and prime factorization of 729 and 737. The biggest common factor number is the GCF number.
So the greatest common factor 729 and 737 is 1.

Also check out the Least Common Multiple of 729 and 737

Properties of GCF 729 and 737

(i) The GCF of 729 and 737 is associative

GCF of 729 and 737 = GCF of 737 and 729

Related Greatest Common Factor of 729

Related Greatest Common Factor of 737

Frequently Asked Questions on GCF of 729 and 737

1. What is the GCF of 729 and 737?

Answer: GCF of 729 and 737 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 737?

Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.

4. How to Find the GCF of 729 and 737?

Answer:

Greatest Common Factor of 729 and 737 = 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 737

737 = 11 x 67

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 737 is 1