Greatest Common Factor of 734 and 741

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

Greatest common factor (GCF) of 734 and 741 is 1.

GCF(734,741) = 1

GCF of 734 and 741

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

GCF of:
and

Greatest Common Factor of 734 and 741

GCF of 734 and 741 is 1

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 741


3 741
13 247
19 19
1

Prime factors of 741 are 3,13,19. Prime factorization of 741 in exponential form is:

741 = 31×131×191

∴ So by taking common prime factors GCF of 734 and 741 is 1

Greatest Common Factor of 734 and 741 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 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors and prime factorization of 734 and 741. The biggest common factor number is the GCF number.
So the greatest common factor 734 and 741 is 1.

Also check out the Least Common Multiple of 734 and 741

Properties of GCF 734 and 741

(i) The GCF of 734 and 741 is associative

GCF of 734 and 741 = GCF of 741 and 734

Related Greatest Common Factor of 734

Related Greatest Common Factor of 741

Frequently Asked Questions on GCF of 734 and 741

1. What is the GCF of 734 and 741?

Answer: GCF of 734 and 741 is 1.

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 741?

Answer: Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. There are 8 integers that are factors of 741. The greatest factor of 741 is 741.

4. How to Find the GCF of 734 and 741?

Answer:

Greatest Common Factor of 734 and 741 = 1

Step 1: Find the prime factorization of 734

734 = 2 x 367

Step 2: Find the prime factorization of 741

741 = 3 x 13 x 19

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 734 and 741 is 1