Greatest Common Factor of 7776 and 7784

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, 7784 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7776 and 7784 is 8.

GCF(7776,7784) = 8

GCF of 7776 and 7784

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

GCF of:
and

Greatest Common Factor of 7776 and 7784

GCF of 7776 and 7784 is 8

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 7784


2 7784
2 3892
2 1946
7 973
139 139
1

Prime factors of 7784 are 2,7,139. Prime factorization of 7784 in exponential form is:

7784 = 23×71×1391

∴ So by taking common prime factors GCF of 7776 and 7784 is 8

Greatest Common Factor of 7776 and 7784 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 7784

List of positive integer factors of 7784 that divides 7784 without a remainder.

1,2,4,7,8,14,28,56,139,278,556,973,1112,1946,3892,7784

Greatest Common Factor

We found the factors and prime factorization of 7776 and 7784. The biggest common factor number is the GCF number.
So the greatest common factor 7776 and 7784 is 8.

Also check out the Least Common Multiple of 7776 and 7784

Properties of GCF 7776 and 7784

(i) The GCF of 7776 and 7784 is associative

GCF of 7776 and 7784 = GCF of 7784 and 7776

Related Greatest Common Factor of 7776

Related Greatest Common Factor of 7784

Frequently Asked Questions on GCF of 7776 and 7784

1. What is the GCF of 7776 and 7784?

Answer: GCF of 7776 and 7784 is 8.

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 7784?

Answer: Factors of 7784 are 1, 2, 4, 7, 8, 14, 28, 56, 139, 278, 556, 973, 1112, 1946, 3892, 7784. There are 16 integers that are factors of 7784. The greatest factor of 7784 is 7784.

4. How to Find the GCF of 7776 and 7784?

Answer:

Greatest Common Factor of 7776 and 7784 = 8

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 7784

7784 = 2 x 2 x 2 x 7 x 139

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 7776 and 7784 is 8