Greatest Common Factor of 728 and 732

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 728, 732 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 728 and 732 is 4.

GCF(728,732) = 4

GCF of 728 and 732

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

GCF of:
and

Greatest Common Factor of 728 and 732

GCF of 728 and 732 is 4

Prime Factorization of 728


2 728
2 364
2 182
7 91
13 13
1

Prime factors of 728 are 2,7,13. Prime factorization of 728 in exponential form is:

728 = 23×71×131

Prime Factorization of 732


2 732
2 366
3 183
61 61
1

Prime factors of 732 are 2,3,61. Prime factorization of 732 in exponential form is:

732 = 22×31×611

∴ So by taking common prime factors GCF of 728 and 732 is 4

Greatest Common Factor of 728 and 732 by matching factors method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors and prime factorization of 728 and 732. The biggest common factor number is the GCF number.
So the greatest common factor 728 and 732 is 4.

Also check out the Least Common Multiple of 728 and 732

Properties of GCF 728 and 732

(i) The GCF of 728 and 732 is associative

GCF of 728 and 732 = GCF of 732 and 728

Related Greatest Common Factor of 728

Related Greatest Common Factor of 732

Frequently Asked Questions on GCF of 728 and 732

1. What is the GCF of 728 and 732?

Answer: GCF of 728 and 732 is 4.

2. What are the Factors of 728?

Answer: Factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728. There are 16 integers that are factors of 728. The greatest factor of 728 is 728.

3. What are the Factors of 732?

Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.

4. How to Find the GCF of 728 and 732?

Answer:

Greatest Common Factor of 728 and 732 = 4

Step 1: Find the prime factorization of 728

728 = 2 x 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 728 and 732 is 4