Greatest Common Factor of 7155 and 7161

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 7155, 7161 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7155 and 7161 is 3.

GCF(7155,7161) = 3

GCF of 7155 and 7161

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

GCF of:
and

Greatest Common Factor of 7155 and 7161

GCF of 7155 and 7161 is 3

Prime Factorization of 7155


3 7155
3 2385
3 795
5 265
53 53
1

Prime factors of 7155 are 3,5,53. Prime factorization of 7155 in exponential form is:

7155 = 33×51×531

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

∴ So by taking common prime factors GCF of 7155 and 7161 is 3

Greatest Common Factor of 7155 and 7161 by matching factors method

Factors of 7155

List of positive integer factors of 7155 that divides 7155 without a remainder.

1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155

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

Greatest Common Factor

We found the factors and prime factorization of 7155 and 7161. The biggest common factor number is the GCF number.
So the greatest common factor 7155 and 7161 is 3.

Also check out the Least Common Multiple of 7155 and 7161

Properties of GCF 7155 and 7161

(i) The GCF of 7155 and 7161 is associative

GCF of 7155 and 7161 = GCF of 7161 and 7155

Related Greatest Common Factor of 7155

Related Greatest Common Factor of 7161

Frequently Asked Questions on GCF of 7155 and 7161

1. What is the GCF of 7155 and 7161?

Answer: GCF of 7155 and 7161 is 3.

2. What are the Factors of 7155?

Answer: Factors of 7155 are 1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155. There are 16 integers that are factors of 7155. The greatest factor of 7155 is 7155.

3. 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.

4. How to Find the GCF of 7155 and 7161?

Answer:

Greatest Common Factor of 7155 and 7161 = 3

Step 1: Find the prime factorization of 7155

7155 = 3 x 3 x 3 x 5 x 53

Step 2: Find the prime factorization of 7161

7161 = 3 x 7 x 11 x 31

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 7155 and 7161 is 3