Greatest Common Factor of 2205 and 2213

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 2205, 2213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2205 and 2213 is 1.

GCF(2205,2213) = 1

GCF of 2205 and 2213

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

GCF of:
and

Greatest Common Factor of 2205 and 2213

GCF of 2205 and 2213 is 1

Prime Factorization of 2205


3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 2205 are 3,5,7. Prime factorization of 2205 in exponential form is:

2205 = 32×51×72

Prime Factorization of 2213


2213 2213
1

Prime factors of 2213 are 2213. Prime factorization of 2213 in exponential form is:

2213 = 22131

∴ So by taking common prime factors GCF of 2205 and 2213 is 1

Greatest Common Factor of 2205 and 2213 by matching factors method

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205

Factors of 2213

List of positive integer factors of 2213 that divides 2213 without a remainder.

1,2213

Greatest Common Factor

We found the factors and prime factorization of 2205 and 2213. The biggest common factor number is the GCF number.
So the greatest common factor 2205 and 2213 is 1.

Also check out the Least Common Multiple of 2205 and 2213

Properties of GCF 2205 and 2213

(i) The GCF of 2205 and 2213 is associative

GCF of 2205 and 2213 = GCF of 2213 and 2205

Related Greatest Common Factor of 2205

Related Greatest Common Factor of 2213

Frequently Asked Questions on GCF of 2205 and 2213

1. What is the GCF of 2205 and 2213?

Answer: GCF of 2205 and 2213 is 1.

2. What are the Factors of 2205?

Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.

3. What are the Factors of 2213?

Answer: Factors of 2213 are 1, 2213. There are 2 integers that are factors of 2213. The greatest factor of 2213 is 2213.

4. How to Find the GCF of 2205 and 2213?

Answer:

Greatest Common Factor of 2205 and 2213 = 1

Step 1: Find the prime factorization of 2205

2205 = 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 2213

2213 = 2213

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2205 and 2213 is 1