Greatest Common Factor of 7104 and 7106

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, 7106 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7104 and 7106 is 2.

GCF(7104,7106) = 2

GCF of 7104 and 7106

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

GCF of:
and

Greatest Common Factor of 7104 and 7106

GCF of 7104 and 7106 is 2

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 7106


2 7106
11 3553
17 323
19 19
1

Prime factors of 7106 are 2,11,17,19. Prime factorization of 7106 in exponential form is:

7106 = 21×111×171×191

∴ So by taking common prime factors GCF of 7104 and 7106 is 2

Greatest Common Factor of 7104 and 7106 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 7106

List of positive integer factors of 7106 that divides 7106 without a remainder.

1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106

Greatest Common Factor

We found the factors and prime factorization of 7104 and 7106. The biggest common factor number is the GCF number.
So the greatest common factor 7104 and 7106 is 2.

Also check out the Least Common Multiple of 7104 and 7106

Properties of GCF 7104 and 7106

(i) The GCF of 7104 and 7106 is associative

GCF of 7104 and 7106 = GCF of 7106 and 7104

Related Greatest Common Factor of 7104

Related Greatest Common Factor of 7106

Frequently Asked Questions on GCF of 7104 and 7106

1. What is the GCF of 7104 and 7106?

Answer: GCF of 7104 and 7106 is 2.

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 7106?

Answer: Factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106. There are 16 integers that are factors of 7106. The greatest factor of 7106 is 7106.

4. How to Find the GCF of 7104 and 7106?

Answer:

Greatest Common Factor of 7104 and 7106 = 2

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 7106

7106 = 2 x 11 x 17 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7104 and 7106 is 2