Greatest Common Factor of 7724 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 7724, 7728 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7724 and 7728 is 4.

GCF(7724,7728) = 4

GCF of 7724 and 7728

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

GCF of:
and

Greatest Common Factor of 7724 and 7728

GCF of 7724 and 7728 is 4

Prime Factorization of 7724


2 7724
2 3862
1931 1931
1

Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:

7724 = 22×19311

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

∴ So by taking common prime factors GCF of 7724 and 7728 is 4

Greatest Common Factor of 7724 and 7728 by matching factors method

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1,2,4,1931,3862,7724

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 7724 and 7728. The biggest common factor number is the GCF number.
So the greatest common factor 7724 and 7728 is 4.

Also check out the Least Common Multiple of 7724 and 7728

Properties of GCF 7724 and 7728

(i) The GCF of 7724 and 7728 is associative

GCF of 7724 and 7728 = GCF of 7728 and 7724

Related Greatest Common Factor of 7724

Related Greatest Common Factor of 7728

Frequently Asked Questions on GCF of 7724 and 7728

1. What is the GCF of 7724 and 7728?

Answer: GCF of 7724 and 7728 is 4.

2. What are the Factors of 7724?

Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.

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 7724 and 7728?

Answer:

Greatest Common Factor of 7724 and 7728 = 4

Step 1: Find the prime factorization of 7724

7724 = 2 x 2 x 1931

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7724 and 7728 is 4