Greatest Common Factor of 7161 and 7167

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 7161, 7167 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7161 and 7167 is 3.

GCF(7161,7167) = 3

GCF of 7161 and 7167

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

GCF of:
and

Greatest Common Factor of 7161 and 7167

GCF of 7161 and 7167 is 3

Prime Factorization of 7161


3 7161
7 2387
11 341
31 31
1

Prime factors of 7161 are 3,7,11,31. Prime factorization of 7161 in exponential form is:

7161 = 31×71×111×311

Prime Factorization of 7167


3 7167
2389 2389
1

Prime factors of 7167 are 3,2389. Prime factorization of 7167 in exponential form is:

7167 = 31×23891

∴ So by taking common prime factors GCF of 7161 and 7167 is 3

Greatest Common Factor of 7161 and 7167 by matching factors method

Factors of 7161

List of positive integer factors of 7161 that divides 7161 without a remainder.

1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1,3,2389,7167

Greatest Common Factor

We found the factors and prime factorization of 7161 and 7167. The biggest common factor number is the GCF number.
So the greatest common factor 7161 and 7167 is 3.

Also check out the Least Common Multiple of 7161 and 7167

Properties of GCF 7161 and 7167

(i) The GCF of 7161 and 7167 is associative

GCF of 7161 and 7167 = GCF of 7167 and 7161

Related Greatest Common Factor of 7161

Related Greatest Common Factor of 7167

Frequently Asked Questions on GCF of 7161 and 7167

1. What is the GCF of 7161 and 7167?

Answer: GCF of 7161 and 7167 is 3.

2. What are the Factors of 7161?

Answer: Factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161. There are 16 integers that are factors of 7161. The greatest factor of 7161 is 7161.

3. What are the Factors of 7167?

Answer: Factors of 7167 are 1, 3, 2389, 7167. There are 4 integers that are factors of 7167. The greatest factor of 7167 is 7167.

4. How to Find the GCF of 7161 and 7167?

Answer:

Greatest Common Factor of 7161 and 7167 = 3

Step 1: Find the prime factorization of 7161

7161 = 3 x 7 x 11 x 31

Step 2: Find the prime factorization of 7167

7167 = 3 x 2389

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 7161 and 7167 is 3