Greatest Common Factor of 731 and 738

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

Greatest common factor (GCF) of 731 and 738 is 1.

GCF(731,738) = 1

GCF of 731 and 738

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

GCF of:
and

Greatest Common Factor of 731 and 738

GCF of 731 and 738 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 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2,3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

∴ So by taking common prime factors GCF of 731 and 738 is 1

Greatest Common Factor of 731 and 738 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 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors and prime factorization of 731 and 738. The biggest common factor number is the GCF number.
So the greatest common factor 731 and 738 is 1.

Also check out the Least Common Multiple of 731 and 738

Properties of GCF 731 and 738

(i) The GCF of 731 and 738 is associative

GCF of 731 and 738 = GCF of 738 and 731

Related Greatest Common Factor of 731

Related Greatest Common Factor of 738

Frequently Asked Questions on GCF of 731 and 738

1. What is the GCF of 731 and 738?

Answer: GCF of 731 and 738 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 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

4. How to Find the GCF of 731 and 738?

Answer:

Greatest Common Factor of 731 and 738 = 1

Step 1: Find the prime factorization of 731

731 = 17 x 43

Step 2: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

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 738 is 1