Greatest Common Factor of 7752 and 7756

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 7752, 7756 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7752 and 7756 is 4.

GCF(7752,7756) = 4

GCF of 7752 and 7756

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

GCF of:
and

Greatest Common Factor of 7752 and 7756

GCF of 7752 and 7756 is 4

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

Prime Factorization of 7756


2 7756
2 3878
7 1939
277 277
1

Prime factors of 7756 are 2,7,277. Prime factorization of 7756 in exponential form is:

7756 = 22×71×2771

∴ So by taking common prime factors GCF of 7752 and 7756 is 4

Greatest Common Factor of 7752 and 7756 by matching factors method

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

Factors of 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1,2,4,7,14,28,277,554,1108,1939,3878,7756

Greatest Common Factor

We found the factors and prime factorization of 7752 and 7756. The biggest common factor number is the GCF number.
So the greatest common factor 7752 and 7756 is 4.

Also check out the Least Common Multiple of 7752 and 7756

Properties of GCF 7752 and 7756

(i) The GCF of 7752 and 7756 is associative

GCF of 7752 and 7756 = GCF of 7756 and 7752

Related Greatest Common Factor of 7752

Related Greatest Common Factor of 7756

Frequently Asked Questions on GCF of 7752 and 7756

1. What is the GCF of 7752 and 7756?

Answer: GCF of 7752 and 7756 is 4.

2. 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.

3. What are the Factors of 7756?

Answer: Factors of 7756 are 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756. There are 12 integers that are factors of 7756. The greatest factor of 7756 is 7756.

4. How to Find the GCF of 7752 and 7756?

Answer:

Greatest Common Factor of 7752 and 7756 = 4

Step 1: Find the prime factorization of 7752

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

Step 2: Find the prime factorization of 7756

7756 = 2 x 2 x 7 x 277

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 7752 and 7756 is 4