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Greatest Common Factor of 726 and 734

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 726, 734 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 726 and 734 is 2.

GCF(726,734) = 2

GCF of 726 and 734

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

GCF of:
and

Greatest Common Factor of 726 and 734 by Prime factorization method

Prime Factorization of 726


2 726
3 363
11 121
11 11
1

Prime factors of 726 are 2,3,11. Prime factorization of 726 in exponential form is:

726 = 21×31×112

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 726 and 734 is 2

Greatest Common Factor of 726 and 734 by matching factors method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

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 726 and 734. The biggest common factor number is the GCF number.
So the greatest common factor 726 and 734 is 2.

Also check out the Least Common Multiple of 726 and 734

Properties of GCF 726 and 734

(i) The GCF of 726 and 734 is associative

GCF of 726 and 734 = GCF of 734 and 726

Frequently Asked Questions on GCF of 726 and 734

1. What is the GCF of 726 and 734?

Answer: GCF of 726 and 734 is 2.

2. What are the Factors of 726?

Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.

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 726 and 734?

Answer:

Greatest Common Factor of 726 and 734 = 2

Step 1: Find the prime factorization of 726

726 = 2 x 3 x 11 x 11

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 726 and 734 is 2