Greatest Common Factor of 7746 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 7746, 7752 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7746 and 7752 is 6.

GCF(7746,7752) = 6

GCF of 7746 and 7752

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

GCF of:
and

Greatest Common Factor of 7746 and 7752

GCF of 7746 and 7752 is 6

Prime Factorization of 7746


2 7746
3 3873
1291 1291
1

Prime factors of 7746 are 2,3,1291. Prime factorization of 7746 in exponential form is:

7746 = 21×31×12911

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 7746 and 7752 is 6

Greatest Common Factor of 7746 and 7752 by matching factors method

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1,2,3,6,1291,2582,3873,7746

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 7746 and 7752. The biggest common factor number is the GCF number.
So the greatest common factor 7746 and 7752 is 6.

Also check out the Least Common Multiple of 7746 and 7752

Properties of GCF 7746 and 7752

(i) The GCF of 7746 and 7752 is associative

GCF of 7746 and 7752 = GCF of 7752 and 7746

Frequently Asked Questions on GCF of 7746 and 7752

1. What is the GCF of 7746 and 7752?

Answer: GCF of 7746 and 7752 is 6.

2. What are the Factors of 7746?

Answer: Factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746. There are 8 integers that are factors of 7746. The greatest factor of 7746 is 7746.

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 7746 and 7752?

Answer:

Greatest Common Factor of 7746 and 7752 = 6

Step 1: Find the prime factorization of 7746

7746 = 2 x 3 x 1291

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 3 = 6

Step 4: Therefore, the greatest common factor of 7746 and 7752 is 6