Greatest Common Factor of 734 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 734, 738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 734 and 738 is 2.

GCF(734,738) = 2

GCF of 734 and 738

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

GCF of:
and

Greatest Common Factor of 734 and 738

GCF of 734 and 738 is 2

Prime Factorization of 734


2 734
367 367
1

Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:

734 = 21×3671

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 734 and 738 is 2

Greatest Common Factor of 734 and 738 by matching factors method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

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 734 and 738. The biggest common factor number is the GCF number.
So the greatest common factor 734 and 738 is 2.

Also check out the Least Common Multiple of 734 and 738

Properties of GCF 734 and 738

(i) The GCF of 734 and 738 is associative

GCF of 734 and 738 = GCF of 738 and 734

Related Greatest Common Factor of 734

Related Greatest Common Factor of 738

Frequently Asked Questions on GCF of 734 and 738

1. What is the GCF of 734 and 738?

Answer: GCF of 734 and 738 is 2.

2. What are the Factors of 734?

Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.

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 734 and 738?

Answer:

Greatest Common Factor of 734 and 738 = 2

Step 1: Find the prime factorization of 734

734 = 2 x 367

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 = 2

Step 4: Therefore, the greatest common factor of 734 and 738 is 2