Greatest Common Factor of 7101 and 7104

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 7101, 7104 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7101 and 7104 is 3.

GCF(7101,7104) = 3

GCF of 7101 and 7104

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

GCF of:
and

Greatest Common Factor of 7101 and 7104

GCF of 7101 and 7104 is 3

Prime Factorization of 7101


3 7101
3 2367
3 789
263 263
1

Prime factors of 7101 are 3,263. Prime factorization of 7101 in exponential form is:

7101 = 33×2631

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

∴ So by taking common prime factors GCF of 7101 and 7104 is 3

Greatest Common Factor of 7101 and 7104 by matching factors method

Factors of 7101

List of positive integer factors of 7101 that divides 7101 without a remainder.

1,3,9,27,263,789,2367,7101

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

Greatest Common Factor

We found the factors and prime factorization of 7101 and 7104. The biggest common factor number is the GCF number.
So the greatest common factor 7101 and 7104 is 3.

Also check out the Least Common Multiple of 7101 and 7104

Properties of GCF 7101 and 7104

(i) The GCF of 7101 and 7104 is associative

GCF of 7101 and 7104 = GCF of 7104 and 7101

Related Greatest Common Factor of 7101

Related Greatest Common Factor of 7104

Frequently Asked Questions on GCF of 7101 and 7104

1. What is the GCF of 7101 and 7104?

Answer: GCF of 7101 and 7104 is 3.

2. What are the Factors of 7101?

Answer: Factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101. There are 8 integers that are factors of 7101. The greatest factor of 7101 is 7101.

3. 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.

4. How to Find the GCF of 7101 and 7104?

Answer:

Greatest Common Factor of 7101 and 7104 = 3

Step 1: Find the prime factorization of 7101

7101 = 3 x 3 x 3 x 263

Step 2: Find the prime factorization of 7104

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

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 7101 and 7104 is 3