Greatest Common Factor of 7104 and 7107

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 7104, 7107 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7104 and 7107 is 3.

GCF(7104,7107) = 3

GCF of 7104 and 7107

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

GCF of:
and

Greatest Common Factor of 7104 and 7107

GCF of 7104 and 7107 is 3

Prime Factorization of 7104


2 7104
2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 7104 are 2,3,37. Prime factorization of 7104 in exponential form is:

7104 = 26×31×371

Prime Factorization of 7107


3 7107
23 2369
103 103
1

Prime factors of 7107 are 3,23,103. Prime factorization of 7107 in exponential form is:

7107 = 31×231×1031

∴ So by taking common prime factors GCF of 7104 and 7107 is 3

Greatest Common Factor of 7104 and 7107 by matching factors method

Factors of 7104

List of positive integer factors of 7104 that divides 7104 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,148,192,222,296,444,592,888,1184,1776,2368,3552,7104

Factors of 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1,3,23,69,103,309,2369,7107

Greatest Common Factor

We found the factors and prime factorization of 7104 and 7107. The biggest common factor number is the GCF number.
So the greatest common factor 7104 and 7107 is 3.

Also check out the Least Common Multiple of 7104 and 7107

Properties of GCF 7104 and 7107

(i) The GCF of 7104 and 7107 is associative

GCF of 7104 and 7107 = GCF of 7107 and 7104

Related Greatest Common Factor of 7104

Related Greatest Common Factor of 7107

Frequently Asked Questions on GCF of 7104 and 7107

1. What is the GCF of 7104 and 7107?

Answer: GCF of 7104 and 7107 is 3.

2. What are the Factors of 7104?

Answer: Factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104. There are 28 integers that are factors of 7104. The greatest factor of 7104 is 7104.

3. What are the Factors of 7107?

Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.

4. How to Find the GCF of 7104 and 7107?

Answer:

Greatest Common Factor of 7104 and 7107 = 3

Step 1: Find the prime factorization of 7104

7104 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 7107

7107 = 3 x 23 x 103

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7104 and 7107 is 3