Greatest Common Factor of 7728 and 7735

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 7728, 7735 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7728 and 7735 is 7.

GCF(7728,7735) = 7

GCF of 7728 and 7735

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

GCF of:
and

Greatest Common Factor of 7728 and 7735

GCF of 7728 and 7735 is 7

Prime Factorization of 7728


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

Prime factors of 7728 are 2,3,7,23. Prime factorization of 7728 in exponential form is:

7728 = 24×31×71×231

Prime Factorization of 7735


5 7735
7 1547
13 221
17 17
1

Prime factors of 7735 are 5,7,13,17. Prime factorization of 7735 in exponential form is:

7735 = 51×71×131×171

∴ So by taking common prime factors GCF of 7728 and 7735 is 7

Greatest Common Factor of 7728 and 7735 by matching factors method

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

Factors of 7735

List of positive integer factors of 7735 that divides 7735 without a remainder.

1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735

Greatest Common Factor

We found the factors and prime factorization of 7728 and 7735. The biggest common factor number is the GCF number.
So the greatest common factor 7728 and 7735 is 7.

Also check out the Least Common Multiple of 7728 and 7735

Properties of GCF 7728 and 7735

(i) The GCF of 7728 and 7735 is associative

GCF of 7728 and 7735 = GCF of 7735 and 7728

Related Greatest Common Factor of 7728

Related Greatest Common Factor of 7735

Frequently Asked Questions on GCF of 7728 and 7735

1. What is the GCF of 7728 and 7735?

Answer: GCF of 7728 and 7735 is 7.

2. 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.

3. What are the Factors of 7735?

Answer: Factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735. There are 16 integers that are factors of 7735. The greatest factor of 7735 is 7735.

4. How to Find the GCF of 7728 and 7735?

Answer:

Greatest Common Factor of 7728 and 7735 = 7

Step 1: Find the prime factorization of 7728

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

Step 2: Find the prime factorization of 7735

7735 = 5 x 7 x 13 x 17

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7728 and 7735 is 7