Greatest Common Factor of 730 and 734

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 730, 734 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 730 and 734 is 2.

GCF(730,734) = 2

GCF of 730 and 734

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

GCF of:
and

Greatest Common Factor of 730 and 734

GCF of 730 and 734 is 2

Prime Factorization of 730


2 730
5 365
73 73
1

Prime factors of 730 are 2,5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

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

∴ So by taking common prime factors GCF of 730 and 734 is 2

Greatest Common Factor of 730 and 734 by matching factors method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 734

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

1,2,367,734

Greatest Common Factor

We found the factors and prime factorization of 730 and 734. The biggest common factor number is the GCF number.
So the greatest common factor 730 and 734 is 2.

Also check out the Least Common Multiple of 730 and 734

Properties of GCF 730 and 734

(i) The GCF of 730 and 734 is associative

GCF of 730 and 734 = GCF of 734 and 730

Related Greatest Common Factor of 730

Related Greatest Common Factor of 734

Frequently Asked Questions on GCF of 730 and 734

1. What is the GCF of 730 and 734?

Answer: GCF of 730 and 734 is 2.

2. What are the Factors of 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

3. 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.

4. How to Find the GCF of 730 and 734?

Answer:

Greatest Common Factor of 730 and 734 = 2

Step 1: Find the prime factorization of 730

730 = 2 x 5 x 73

Step 2: Find the prime factorization of 734

734 = 2 x 367

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 730 and 734 is 2