Greatest Common Factor of 2150 and 2155

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 2150, 2155 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2150 and 2155 is 5.

GCF(2150,2155) = 5

GCF of 2150 and 2155

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

GCF of:
and

Greatest Common Factor of 2150 and 2155

GCF of 2150 and 2155 is 5

Prime Factorization of 2150


2 2150
5 1075
5 215
43 43
1

Prime factors of 2150 are 2,5,43. Prime factorization of 2150 in exponential form is:

2150 = 21×52×431

Prime Factorization of 2155


5 2155
431 431
1

Prime factors of 2155 are 5,431. Prime factorization of 2155 in exponential form is:

2155 = 51×4311

∴ So by taking common prime factors GCF of 2150 and 2155 is 5

Greatest Common Factor of 2150 and 2155 by matching factors method

Factors of 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1,2,5,10,25,43,50,86,215,430,1075,2150

Factors of 2155

List of positive integer factors of 2155 that divides 2155 without a remainder.

1,5,431,2155

Greatest Common Factor

We found the factors and prime factorization of 2150 and 2155. The biggest common factor number is the GCF number.
So the greatest common factor 2150 and 2155 is 5.

Also check out the Least Common Multiple of 2150 and 2155

Properties of GCF 2150 and 2155

(i) The GCF of 2150 and 2155 is associative

GCF of 2150 and 2155 = GCF of 2155 and 2150

Related Greatest Common Factor of 2150

Related Greatest Common Factor of 2155

Frequently Asked Questions on GCF of 2150 and 2155

1. What is the GCF of 2150 and 2155?

Answer: GCF of 2150 and 2155 is 5.

2. What are the Factors of 2150?

Answer: Factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150. There are 12 integers that are factors of 2150. The greatest factor of 2150 is 2150.

3. What are the Factors of 2155?

Answer: Factors of 2155 are 1, 5, 431, 2155. There are 4 integers that are factors of 2155. The greatest factor of 2155 is 2155.

4. How to Find the GCF of 2150 and 2155?

Answer:

Greatest Common Factor of 2150 and 2155 = 5

Step 1: Find the prime factorization of 2150

2150 = 2 x 5 x 5 x 43

Step 2: Find the prime factorization of 2155

2155 = 5 x 431

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 2150 and 2155 is 5