Greatest Common Factor of 731 and 739

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 731, 739 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 731 and 739 is 1.

GCF(731,739) = 1

GCF of 731 and 739

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

GCF of:
and

Greatest Common Factor of 731 and 739

GCF of 731 and 739 is 1

Prime Factorization of 731


17 731
43 43
1

Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:

731 = 171×431

Prime Factorization of 739


739 739
1

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

∴ So by taking common prime factors GCF of 731 and 739 is 1

Greatest Common Factor of 731 and 739 by matching factors method

Factors of 731

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

1,17,43,731

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors and prime factorization of 731 and 739. The biggest common factor number is the GCF number.
So the greatest common factor 731 and 739 is 1.

Also check out the Least Common Multiple of 731 and 739

Properties of GCF 731 and 739

(i) The GCF of 731 and 739 is associative

GCF of 731 and 739 = GCF of 739 and 731

Related Greatest Common Factor of 731

Related Greatest Common Factor of 739

Frequently Asked Questions on GCF of 731 and 739

1. What is the GCF of 731 and 739?

Answer: GCF of 731 and 739 is 1.

2. 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.

3. What are the Factors of 739?

Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.

4. How to Find the GCF of 731 and 739?

Answer:

Greatest Common Factor of 731 and 739 = 1

Step 1: Find the prime factorization of 731

731 = 17 x 43

Step 2: Find the prime factorization of 739

739 = 739

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 731 and 739 is 1