Greatest Common Factor of 6160 and 6165

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 6160, 6165 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6160 and 6165 is 5.

GCF(6160,6165) = 5

GCF of 6160 and 6165

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

GCF of:
and

Greatest Common Factor of 6160 and 6165

GCF of 6160 and 6165 is 5

Prime Factorization of 6160


2 6160
2 3080
2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 6160 are 2,5,7,11. Prime factorization of 6160 in exponential form is:

6160 = 24×51×71×111

Prime Factorization of 6165


3 6165
3 2055
5 685
137 137
1

Prime factors of 6165 are 3,5,137. Prime factorization of 6165 in exponential form is:

6165 = 32×51×1371

∴ So by taking common prime factors GCF of 6160 and 6165 is 5

Greatest Common Factor of 6160 and 6165 by matching factors method

Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160

Factors of 6165

List of positive integer factors of 6165 that divides 6165 without a remainder.

1,3,5,9,15,45,137,411,685,1233,2055,6165

Greatest Common Factor

We found the factors and prime factorization of 6160 and 6165. The biggest common factor number is the GCF number.
So the greatest common factor 6160 and 6165 is 5.

Also check out the Least Common Multiple of 6160 and 6165

Properties of GCF 6160 and 6165

(i) The GCF of 6160 and 6165 is associative

GCF of 6160 and 6165 = GCF of 6165 and 6160

Related Greatest Common Factor of 6160

Related Greatest Common Factor of 6165

Frequently Asked Questions on GCF of 6160 and 6165

1. What is the GCF of 6160 and 6165?

Answer: GCF of 6160 and 6165 is 5.

2. What are the Factors of 6160?

Answer: Factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160. There are 40 integers that are factors of 6160. The greatest factor of 6160 is 6160.

3. What are the Factors of 6165?

Answer: Factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165. There are 12 integers that are factors of 6165. The greatest factor of 6165 is 6165.

4. How to Find the GCF of 6160 and 6165?

Answer:

Greatest Common Factor of 6160 and 6165 = 5

Step 1: Find the prime factorization of 6160

6160 = 2 x 2 x 2 x 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 6165

6165 = 3 x 3 x 5 x 137

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6160 and 6165 is 5