Greatest Common Factor of 7788 and 7794

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 7788, 7794 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7788 and 7794 is 6.

GCF(7788,7794) = 6

GCF of 7788 and 7794

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

GCF of:
and

Greatest Common Factor of 7788 and 7794

GCF of 7788 and 7794 is 6

Prime Factorization of 7788


2 7788
2 3894
3 1947
11 649
59 59
1

Prime factors of 7788 are 2,3,11,59. Prime factorization of 7788 in exponential form is:

7788 = 22×31×111×591

Prime Factorization of 7794


2 7794
3 3897
3 1299
433 433
1

Prime factors of 7794 are 2,3,433. Prime factorization of 7794 in exponential form is:

7794 = 21×32×4331

∴ So by taking common prime factors GCF of 7788 and 7794 is 6

Greatest Common Factor of 7788 and 7794 by matching factors method

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1,2,3,6,9,18,433,866,1299,2598,3897,7794

Greatest Common Factor

We found the factors and prime factorization of 7788 and 7794. The biggest common factor number is the GCF number.
So the greatest common factor 7788 and 7794 is 6.

Also check out the Least Common Multiple of 7788 and 7794

Properties of GCF 7788 and 7794

(i) The GCF of 7788 and 7794 is associative

GCF of 7788 and 7794 = GCF of 7794 and 7788

Related Greatest Common Factor of 7788

Related Greatest Common Factor of 7794

Frequently Asked Questions on GCF of 7788 and 7794

1. What is the GCF of 7788 and 7794?

Answer: GCF of 7788 and 7794 is 6.

2. What are the Factors of 7788?

Answer: Factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788. There are 24 integers that are factors of 7788. The greatest factor of 7788 is 7788.

3. What are the Factors of 7794?

Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.

4. How to Find the GCF of 7788 and 7794?

Answer:

Greatest Common Factor of 7788 and 7794 = 6

Step 1: Find the prime factorization of 7788

7788 = 2 x 2 x 3 x 11 x 59

Step 2: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

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 7788 and 7794 is 6