Greatest Common Factor of 6150 and 6155

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 6150, 6155 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6150 and 6155 is 5.

GCF(6150,6155) = 5

GCF of 6150 and 6155

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

GCF of:
and

Greatest Common Factor of 6150 and 6155

GCF of 6150 and 6155 is 5

Prime Factorization of 6150


2 6150
3 3075
5 1025
5 205
41 41
1

Prime factors of 6150 are 2,3,5,41. Prime factorization of 6150 in exponential form is:

6150 = 21×31×52×411

Prime Factorization of 6155


5 6155
1231 1231
1

Prime factors of 6155 are 5,1231. Prime factorization of 6155 in exponential form is:

6155 = 51×12311

∴ So by taking common prime factors GCF of 6150 and 6155 is 5

Greatest Common Factor of 6150 and 6155 by matching factors method

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Factors of 6155

List of positive integer factors of 6155 that divides 6155 without a remainder.

1,5,1231,6155

Greatest Common Factor

We found the factors and prime factorization of 6150 and 6155. The biggest common factor number is the GCF number.
So the greatest common factor 6150 and 6155 is 5.

Also check out the Least Common Multiple of 6150 and 6155

Properties of GCF 6150 and 6155

(i) The GCF of 6150 and 6155 is associative

GCF of 6150 and 6155 = GCF of 6155 and 6150

Frequently Asked Questions on GCF of 6150 and 6155

1. What is the GCF of 6150 and 6155?

Answer: GCF of 6150 and 6155 is 5.

2. What are the Factors of 6150?

Answer: Factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150. There are 24 integers that are factors of 6150. The greatest factor of 6150 is 6150.

3. What are the Factors of 6155?

Answer: Factors of 6155 are 1, 5, 1231, 6155. There are 4 integers that are factors of 6155. The greatest factor of 6155 is 6155.

4. How to Find the GCF of 6150 and 6155?

Answer:

Greatest Common Factor of 6150 and 6155 = 5

Step 1: Find the prime factorization of 6150

6150 = 2 x 3 x 5 x 5 x 41

Step 2: Find the prime factorization of 6155

6155 = 5 x 1231

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 6150 and 6155 is 5