Greatest Common Factor of 7744 and 7752

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 7744, 7752 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7744 and 7752 is 8.

GCF(7744,7752) = 8

GCF of 7744 and 7752

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

GCF of:
and

Greatest Common Factor of 7744 and 7752

GCF of 7744 and 7752 is 8

Prime Factorization of 7744


2 7744
2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 7744 are 2,11. Prime factorization of 7744 in exponential form is:

7744 = 26×112

Prime Factorization of 7752


2 7752
2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 7752 are 2,3,17,19. Prime factorization of 7752 in exponential form is:

7752 = 23×31×171×191

∴ So by taking common prime factors GCF of 7744 and 7752 is 8

Greatest Common Factor of 7744 and 7752 by matching factors method

Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

Factors of 7752

List of positive integer factors of 7752 that divides 7752 without a remainder.

1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752

Greatest Common Factor

We found the factors and prime factorization of 7744 and 7752. The biggest common factor number is the GCF number.
So the greatest common factor 7744 and 7752 is 8.

Also check out the Least Common Multiple of 7744 and 7752

Properties of GCF 7744 and 7752

(i) The GCF of 7744 and 7752 is associative

GCF of 7744 and 7752 = GCF of 7752 and 7744

Related Greatest Common Factor of 7744

Related Greatest Common Factor of 7752

Frequently Asked Questions on GCF of 7744 and 7752

1. What is the GCF of 7744 and 7752?

Answer: GCF of 7744 and 7752 is 8.

2. What are the Factors of 7744?

Answer: Factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744. There are 21 integers that are factors of 7744. The greatest factor of 7744 is 7744.

3. What are the Factors of 7752?

Answer: Factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752. There are 32 integers that are factors of 7752. The greatest factor of 7752 is 7752.

4. How to Find the GCF of 7744 and 7752?

Answer:

Greatest Common Factor of 7744 and 7752 = 8

Step 1: Find the prime factorization of 7744

7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 7752

7752 = 2 x 2 x 2 x 3 x 17 x 19

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7744 and 7752 is 8