Greatest Common Factor of 7104 and 7111

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, 7111 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7104 and 7111 is 1.

GCF(7104,7111) = 1

GCF of 7104 and 7111

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

GCF of:
and

Greatest Common Factor of 7104 and 7111

GCF of 7104 and 7111 is 1

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 7111


13 7111
547 547
1

Prime factors of 7111 are 13,547. Prime factorization of 7111 in exponential form is:

7111 = 131×5471

∴ So by taking common prime factors GCF of 7104 and 7111 is 1

Greatest Common Factor of 7104 and 7111 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 7111

List of positive integer factors of 7111 that divides 7111 without a remainder.

1,13,547,7111

Greatest Common Factor

We found the factors and prime factorization of 7104 and 7111. The biggest common factor number is the GCF number.
So the greatest common factor 7104 and 7111 is 1.

Also check out the Least Common Multiple of 7104 and 7111

Properties of GCF 7104 and 7111

(i) The GCF of 7104 and 7111 is associative

GCF of 7104 and 7111 = GCF of 7111 and 7104

Related Greatest Common Factor of 7104

Related Greatest Common Factor of 7111

Frequently Asked Questions on GCF of 7104 and 7111

1. What is the GCF of 7104 and 7111?

Answer: GCF of 7104 and 7111 is 1.

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 7111?

Answer: Factors of 7111 are 1, 13, 547, 7111. There are 4 integers that are factors of 7111. The greatest factor of 7111 is 7111.

4. How to Find the GCF of 7104 and 7111?

Answer:

Greatest Common Factor of 7104 and 7111 = 1

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 7111

7111 = 13 x 547

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7104 and 7111 is 1