Greatest Common Factor of 7777 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 7777, 7784 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7777 and 7784 is 7.

GCF(7777,7784) = 7

GCF of 7777 and 7784

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

GCF of:
and

Greatest Common Factor of 7777 and 7784

GCF of 7777 and 7784 is 7

Prime Factorization of 7777


7 7777
11 1111
101 101
1

Prime factors of 7777 are 7,11,101. Prime factorization of 7777 in exponential form is:

7777 = 71×111×1011

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 7777 and 7784 is 7

Greatest Common Factor of 7777 and 7784 by matching factors method

Factors of 7777

List of positive integer factors of 7777 that divides 7777 without a remainder.

1,7,11,77,101,707,1111,7777

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 7777 and 7784. The biggest common factor number is the GCF number.
So the greatest common factor 7777 and 7784 is 7.

Also check out the Least Common Multiple of 7777 and 7784

Properties of GCF 7777 and 7784

(i) The GCF of 7777 and 7784 is associative

GCF of 7777 and 7784 = GCF of 7784 and 7777

Related Greatest Common Factor of 7777

Related Greatest Common Factor of 7784

Frequently Asked Questions on GCF of 7777 and 7784

1. What is the GCF of 7777 and 7784?

Answer: GCF of 7777 and 7784 is 7.

2. What are the Factors of 7777?

Answer: Factors of 7777 are 1, 7, 11, 77, 101, 707, 1111, 7777. There are 8 integers that are factors of 7777. The greatest factor of 7777 is 7777.

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 7777 and 7784?

Answer:

Greatest Common Factor of 7777 and 7784 = 7

Step 1: Find the prime factorization of 7777

7777 = 7 x 11 x 101

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 = 7

Step 4: Therefore, the greatest common factor of 7777 and 7784 is 7