Greatest Common Factor of 2235 and 2238

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 2235, 2238 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2235 and 2238 is 3.

GCF(2235,2238) = 3

GCF of 2235 and 2238

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

GCF of:
and

Greatest Common Factor of 2235 and 2238

GCF of 2235 and 2238 is 3

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

Prime Factorization of 2238


2 2238
3 1119
373 373
1

Prime factors of 2238 are 2,3,373. Prime factorization of 2238 in exponential form is:

2238 = 21×31×3731

∴ So by taking common prime factors GCF of 2235 and 2238 is 3

Greatest Common Factor of 2235 and 2238 by matching factors method

Factors of 2235

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

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

Factors of 2238

List of positive integer factors of 2238 that divides 2238 without a remainder.

1,2,3,6,373,746,1119,2238

Greatest Common Factor

We found the factors and prime factorization of 2235 and 2238. The biggest common factor number is the GCF number.
So the greatest common factor 2235 and 2238 is 3.

Also check out the Least Common Multiple of 2235 and 2238

Properties of GCF 2235 and 2238

(i) The GCF of 2235 and 2238 is associative

GCF of 2235 and 2238 = GCF of 2238 and 2235

Frequently Asked Questions on GCF of 2235 and 2238

1. What is the GCF of 2235 and 2238?

Answer: GCF of 2235 and 2238 is 3.

2. 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.

3. What are the Factors of 2238?

Answer: Factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238. There are 8 integers that are factors of 2238. The greatest factor of 2238 is 2238.

4. How to Find the GCF of 2235 and 2238?

Answer:

Greatest Common Factor of 2235 and 2238 = 3

Step 1: Find the prime factorization of 2235

2235 = 3 x 5 x 149

Step 2: Find the prime factorization of 2238

2238 = 2 x 3 x 373

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 2235 and 2238 is 3