Greatest Common Factor of 2210 and 2215

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 2210, 2215 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2210 and 2215 is 5.

GCF(2210,2215) = 5

GCF of 2210 and 2215

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

GCF of:
and

Greatest Common Factor of 2210 and 2215

GCF of 2210 and 2215 is 5

Prime Factorization of 2210


2 2210
5 1105
13 221
17 17
1

Prime factors of 2210 are 2,5,13,17. Prime factorization of 2210 in exponential form is:

2210 = 21×51×131×171

Prime Factorization of 2215


5 2215
443 443
1

Prime factors of 2215 are 5,443. Prime factorization of 2215 in exponential form is:

2215 = 51×4431

∴ So by taking common prime factors GCF of 2210 and 2215 is 5

Greatest Common Factor of 2210 and 2215 by matching factors method

Factors of 2210

List of positive integer factors of 2210 that divides 2210 without a remainder.

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Factors of 2215

List of positive integer factors of 2215 that divides 2215 without a remainder.

1,5,443,2215

Greatest Common Factor

We found the factors and prime factorization of 2210 and 2215. The biggest common factor number is the GCF number.
So the greatest common factor 2210 and 2215 is 5.

Also check out the Least Common Multiple of 2210 and 2215

Properties of GCF 2210 and 2215

(i) The GCF of 2210 and 2215 is associative

GCF of 2210 and 2215 = GCF of 2215 and 2210

Related Greatest Common Factor of 2210

Related Greatest Common Factor of 2215

Frequently Asked Questions on GCF of 2210 and 2215

1. What is the GCF of 2210 and 2215?

Answer: GCF of 2210 and 2215 is 5.

2. What are the Factors of 2210?

Answer: Factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210. There are 16 integers that are factors of 2210. The greatest factor of 2210 is 2210.

3. What are the Factors of 2215?

Answer: Factors of 2215 are 1, 5, 443, 2215. There are 4 integers that are factors of 2215. The greatest factor of 2215 is 2215.

4. How to Find the GCF of 2210 and 2215?

Answer:

Greatest Common Factor of 2210 and 2215 = 5

Step 1: Find the prime factorization of 2210

2210 = 2 x 5 x 13 x 17

Step 2: Find the prime factorization of 2215

2215 = 5 x 443

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 2210 and 2215 is 5