Greatest Common Factor of 7728 and 7729

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, 7729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7728 and 7729 is 1.

GCF(7728,7729) = 1

GCF of 7728 and 7729

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

GCF of:
and

Greatest Common Factor of 7728 and 7729

GCF of 7728 and 7729 is 1

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 7729


59 7729
131 131
1

Prime factors of 7729 are 59,131. Prime factorization of 7729 in exponential form is:

7729 = 591×1311

∴ So by taking common prime factors GCF of 7728 and 7729 is 1

Greatest Common Factor of 7728 and 7729 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 7729

List of positive integer factors of 7729 that divides 7729 without a remainder.

1,59,131,7729

Greatest Common Factor

We found the factors and prime factorization of 7728 and 7729. The biggest common factor number is the GCF number.
So the greatest common factor 7728 and 7729 is 1.

Also check out the Least Common Multiple of 7728 and 7729

Properties of GCF 7728 and 7729

(i) The GCF of 7728 and 7729 is associative

GCF of 7728 and 7729 = GCF of 7729 and 7728

Related Greatest Common Factor of 7728

Related Greatest Common Factor of 7729

Frequently Asked Questions on GCF of 7728 and 7729

1. What is the GCF of 7728 and 7729?

Answer: GCF of 7728 and 7729 is 1.

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 7729?

Answer: Factors of 7729 are 1, 59, 131, 7729. There are 4 integers that are factors of 7729. The greatest factor of 7729 is 7729.

4. How to Find the GCF of 7728 and 7729?

Answer:

Greatest Common Factor of 7728 and 7729 = 1

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 7729

7729 = 59 x 131

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 7728 and 7729 is 1