Greatest Common Factor of 2229 and 2235

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 2229, 2235 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2229 and 2235 is 3.

GCF(2229,2235) = 3

GCF of 2229 and 2235

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

GCF of:
and

Greatest Common Factor of 2229 and 2235

GCF of 2229 and 2235 is 3

Prime Factorization of 2229


3 2229
743 743
1

Prime factors of 2229 are 3,743. Prime factorization of 2229 in exponential form is:

2229 = 31×7431

Prime Factorization of 2235


3 2235
5 745
149 149
1

Prime factors of 2235 are 3,5,149. Prime factorization of 2235 in exponential form is:

2235 = 31×51×1491

∴ So by taking common prime factors GCF of 2229 and 2235 is 3

Greatest Common Factor of 2229 and 2235 by matching factors method

Factors of 2229

List of positive integer factors of 2229 that divides 2229 without a remainder.

1,3,743,2229

Factors of 2235

List of positive integer factors of 2235 that divides 2235 without a remainder.

1,3,5,15,149,447,745,2235

Greatest Common Factor

We found the factors and prime factorization of 2229 and 2235. The biggest common factor number is the GCF number.
So the greatest common factor 2229 and 2235 is 3.

Also check out the Least Common Multiple of 2229 and 2235

Properties of GCF 2229 and 2235

(i) The GCF of 2229 and 2235 is associative

GCF of 2229 and 2235 = GCF of 2235 and 2229

Related Greatest Common Factor of 2229

Related Greatest Common Factor of 2235

Frequently Asked Questions on GCF of 2229 and 2235

1. What is the GCF of 2229 and 2235?

Answer: GCF of 2229 and 2235 is 3.

2. What are the Factors of 2229?

Answer: Factors of 2229 are 1, 3, 743, 2229. There are 4 integers that are factors of 2229. The greatest factor of 2229 is 2229.

3. What are the Factors of 2235?

Answer: Factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235. There are 8 integers that are factors of 2235. The greatest factor of 2235 is 2235.

4. How to Find the GCF of 2229 and 2235?

Answer:

Greatest Common Factor of 2229 and 2235 = 3

Step 1: Find the prime factorization of 2229

2229 = 3 x 743

Step 2: Find the prime factorization of 2235

2235 = 3 x 5 x 149

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2229 and 2235 is 3