Greatest Common Factor of 7776 and 7782

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 7776, 7782 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7776 and 7782 is 6.

GCF(7776,7782) = 6

GCF of 7776 and 7782

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

GCF of:
and

Greatest Common Factor of 7776 and 7782

GCF of 7776 and 7782 is 6

Prime Factorization of 7776


2 7776
2 3888
2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 7776 are 2,3. Prime factorization of 7776 in exponential form is:

7776 = 25×35

Prime Factorization of 7782


2 7782
3 3891
1297 1297
1

Prime factors of 7782 are 2,3,1297. Prime factorization of 7782 in exponential form is:

7782 = 21×31×12971

∴ So by taking common prime factors GCF of 7776 and 7782 is 6

Greatest Common Factor of 7776 and 7782 by matching factors method

Factors of 7776

List of positive integer factors of 7776 that divides 7776 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,243,288,324,432,486,648,864,972,1296,1944,2592,3888,7776

Factors of 7782

List of positive integer factors of 7782 that divides 7782 without a remainder.

1,2,3,6,1297,2594,3891,7782

Greatest Common Factor

We found the factors and prime factorization of 7776 and 7782. The biggest common factor number is the GCF number.
So the greatest common factor 7776 and 7782 is 6.

Also check out the Least Common Multiple of 7776 and 7782

Properties of GCF 7776 and 7782

(i) The GCF of 7776 and 7782 is associative

GCF of 7776 and 7782 = GCF of 7782 and 7776

Related Greatest Common Factor of 7776

Related Greatest Common Factor of 7782

Frequently Asked Questions on GCF of 7776 and 7782

1. What is the GCF of 7776 and 7782?

Answer: GCF of 7776 and 7782 is 6.

2. What are the Factors of 7776?

Answer: Factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776. There are 36 integers that are factors of 7776. The greatest factor of 7776 is 7776.

3. What are the Factors of 7782?

Answer: Factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782. There are 8 integers that are factors of 7782. The greatest factor of 7782 is 7782.

4. How to Find the GCF of 7776 and 7782?

Answer:

Greatest Common Factor of 7776 and 7782 = 6

Step 1: Find the prime factorization of 7776

7776 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 7782

7782 = 2 x 3 x 1297

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 7776 and 7782 is 6