Greatest Common Factor of 7104 and 7112

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, 7112 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7104 and 7112 is 8.

GCF(7104,7112) = 8

GCF of 7104 and 7112

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

GCF of:
and

Greatest Common Factor of 7104 and 7112

GCF of 7104 and 7112 is 8

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 7112


2 7112
2 3556
2 1778
7 889
127 127
1

Prime factors of 7112 are 2,7,127. Prime factorization of 7112 in exponential form is:

7112 = 23×71×1271

∴ So by taking common prime factors GCF of 7104 and 7112 is 8

Greatest Common Factor of 7104 and 7112 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 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Greatest Common Factor

We found the factors and prime factorization of 7104 and 7112. The biggest common factor number is the GCF number.
So the greatest common factor 7104 and 7112 is 8.

Also check out the Least Common Multiple of 7104 and 7112

Properties of GCF 7104 and 7112

(i) The GCF of 7104 and 7112 is associative

GCF of 7104 and 7112 = GCF of 7112 and 7104

Related Greatest Common Factor of 7104

Related Greatest Common Factor of 7112

Frequently Asked Questions on GCF of 7104 and 7112

1. What is the GCF of 7104 and 7112?

Answer: GCF of 7104 and 7112 is 8.

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 7112?

Answer: Factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112. There are 16 integers that are factors of 7112. The greatest factor of 7112 is 7112.

4. How to Find the GCF of 7104 and 7112?

Answer:

Greatest Common Factor of 7104 and 7112 = 8

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 7112

7112 = 2 x 2 x 2 x 7 x 127

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 7104 and 7112 is 8