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Greatest Common Factor of 728 and 733

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 728, 733 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 728 and 733 is 1.

GCF(728,733) = 1

GCF of 728 and 733

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

GCF of:
and

Greatest Common Factor of 728 and 733 by Prime factorization method

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 733


733 733
1

Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:

733 = 7331

∴ So by taking common prime factors GCF of 728 and 733 is 1

Greatest Common Factor of 728 and 733 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 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors and prime factorization of 728 and 733. The biggest common factor number is the GCF number.
So the greatest common factor 728 and 733 is 1.

Also check out the Least Common Multiple of 728 and 733

Properties of GCF 728 and 733

(i) The GCF of 728 and 733 is associative

GCF of 728 and 733 = GCF of 733 and 728

Frequently Asked Questions on GCF of 728 and 733

1. What is the GCF of 728 and 733?

Answer: GCF of 728 and 733 is 1.

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 733?

Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.

4. How to Find the GCF of 728 and 733?

Answer:

Greatest Common Factor of 728 and 733 = 1

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 733

733 = 733

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 728 and 733 is 1