Greatest Common Factor of 7723 and 7728

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 7723, 7728 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7723 and 7728 is 1.

GCF(7723,7728) = 1

GCF of 7723 and 7728

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

GCF of:
and

Greatest Common Factor of 7723 and 7728

GCF of 7723 and 7728 is 1

Prime Factorization of 7723


7723 7723
1

Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:

7723 = 77231

Prime Factorization of 7728


2 7728
2 3864
2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 7728 are 2.Prime factorization of 7728 in exponential form is:

7728 = 24×31×71×231

∴ So by taking common prime factors GCF of 7723 and 7728 is 1

Greatest Common Factor of 7723 and 7728 by matching factors method

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1,7723

Factors of 7728

List of positive integer factors of 7728 that divides 7728 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728

Greatest Common Factor

We found the factors and prime factorization of 7723 and 7728. The biggest common factor number is the GCF number.
So the greatest common factor 7723 and 7728 is 1.

Also check out the Least Common Multiple of 7723 and 7728

Properties of GCF 7723 and 7728

(i) The GCF of 7723 and 7728 is associative

GCF of 7723 and 7728 = GCF of 7728 and 7723

Related Greatest Common Factor of 7723

Related Greatest Common Factor of 7728

Frequently Asked Questions on GCF of 7723 and 7728

1. What is the GCF of 7723 and 7728?

Answer: GCF of 7723 and 7728 is 1.

2. What are the Factors of 7723?

Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.

3. What are the Factors of 7728?

Answer: Factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728. There are 40 integers that are factors of 7728. The greatest factor of 7728 is 7728.

4. How to Find the GCF of 7723 and 7728?

Answer:

Greatest Common Factor of 7723 and 7728 = 1

Step 1: Find the prime factorization of 7723

7723 = 7723

Step 2: Find the prime factorization of 7728

7728 = 2 x 2 x 2 x 2 x 3 x 7 x 23

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 7723 and 7728 is 1