Greatest Common Factor of 7722 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 7722, 7728 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7722 and 7728 is 6.

GCF(7722,7728) = 6

GCF of 7722 and 7728

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

GCF of:
and

Greatest Common Factor of 7722 and 7728

GCF of 7722 and 7728 is 6

Prime Factorization of 7722


2 7722
3 3861
3 1287
3 429
11 143
13 13
1

Prime factors of 7722 are 2,3,11,13. Prime factorization of 7722 in exponential form is:

7722 = 21×33×111×131

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 7722 and 7728 is 6

Greatest Common Factor of 7722 and 7728 by matching factors method

Factors of 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722

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 7722 and 7728. The biggest common factor number is the GCF number.
So the greatest common factor 7722 and 7728 is 6.

Also check out the Least Common Multiple of 7722 and 7728

Properties of GCF 7722 and 7728

(i) The GCF of 7722 and 7728 is associative

GCF of 7722 and 7728 = GCF of 7728 and 7722

Related Greatest Common Factor of 7722

Related Greatest Common Factor of 7728

Frequently Asked Questions on GCF of 7722 and 7728

1. What is the GCF of 7722 and 7728?

Answer: GCF of 7722 and 7728 is 6.

2. What are the Factors of 7722?

Answer: Factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722. There are 32 integers that are factors of 7722. The greatest factor of 7722 is 7722.

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 7722 and 7728?

Answer:

Greatest Common Factor of 7722 and 7728 = 6

Step 1: Find the prime factorization of 7722

7722 = 2 x 3 x 3 x 3 x 11 x 13

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 3 = 6

Step 4: Therefore, the greatest common factor of 7722 and 7728 is 6