Greatest Common Factor of 2238 and 2243

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 2238, 2243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2238 and 2243 is 1.

GCF(2238,2243) = 1

GCF of 2238 and 2243

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

GCF of:
and

Greatest Common Factor of 2238 and 2243

GCF of 2238 and 2243 is 1

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

Prime Factorization of 2243


2243 2243
1

Prime factors of 2243 are 2243. Prime factorization of 2243 in exponential form is:

2243 = 22431

∴ So by taking common prime factors GCF of 2238 and 2243 is 1

Greatest Common Factor of 2238 and 2243 by matching factors method

Factors of 2238

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

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

Factors of 2243

List of positive integer factors of 2243 that divides 2243 without a remainder.

1,2243

Greatest Common Factor

We found the factors and prime factorization of 2238 and 2243. The biggest common factor number is the GCF number.
So the greatest common factor 2238 and 2243 is 1.

Also check out the Least Common Multiple of 2238 and 2243

Properties of GCF 2238 and 2243

(i) The GCF of 2238 and 2243 is associative

GCF of 2238 and 2243 = GCF of 2243 and 2238

Related Greatest Common Factor of 2238

Related Greatest Common Factor of 2243

Frequently Asked Questions on GCF of 2238 and 2243

1. What is the GCF of 2238 and 2243?

Answer: GCF of 2238 and 2243 is 1.

2. 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.

3. What are the Factors of 2243?

Answer: Factors of 2243 are 1, 2243. There are 2 integers that are factors of 2243. The greatest factor of 2243 is 2243.

4. How to Find the GCF of 2238 and 2243?

Answer:

Greatest Common Factor of 2238 and 2243 = 1

Step 1: Find the prime factorization of 2238

2238 = 2 x 3 x 373

Step 2: Find the prime factorization of 2243

2243 = 2243

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 2238 and 2243 is 1