Greatest Common Factor of 7238 and 7243

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 7238, 7243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7238 and 7243 is 1.

GCF(7238,7243) = 1

GCF of 7238 and 7243

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

GCF of:
and

Greatest Common Factor of 7238 and 7243

GCF of 7238 and 7243 is 1

Prime Factorization of 7238


2 7238
7 3619
11 517
47 47
1

Prime factors of 7238 are 2,7,11,47. Prime factorization of 7238 in exponential form is:

7238 = 21×71×111×471

Prime Factorization of 7243


7243 7243
1

Prime factors of 7243 are 7243. Prime factorization of 7243 in exponential form is:

7243 = 72431

∴ So by taking common prime factors GCF of 7238 and 7243 is 1

Greatest Common Factor of 7238 and 7243 by matching factors method

Factors of 7238

List of positive integer factors of 7238 that divides 7238 without a remainder.

1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238

Factors of 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1,7243

Greatest Common Factor

We found the factors and prime factorization of 7238 and 7243. The biggest common factor number is the GCF number.
So the greatest common factor 7238 and 7243 is 1.

Also check out the Least Common Multiple of 7238 and 7243

Properties of GCF 7238 and 7243

(i) The GCF of 7238 and 7243 is associative

GCF of 7238 and 7243 = GCF of 7243 and 7238

Related Greatest Common Factor of 7238

Related Greatest Common Factor of 7243

Frequently Asked Questions on GCF of 7238 and 7243

1. What is the GCF of 7238 and 7243?

Answer: GCF of 7238 and 7243 is 1.

2. What are the Factors of 7238?

Answer: Factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238. There are 16 integers that are factors of 7238. The greatest factor of 7238 is 7238.

3. What are the Factors of 7243?

Answer: Factors of 7243 are 1, 7243. There are 2 integers that are factors of 7243. The greatest factor of 7243 is 7243.

4. How to Find the GCF of 7238 and 7243?

Answer:

Greatest Common Factor of 7238 and 7243 = 1

Step 1: Find the prime factorization of 7238

7238 = 2 x 7 x 11 x 47

Step 2: Find the prime factorization of 7243

7243 = 7243

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 7238 and 7243 is 1