Greatest Common Factor of 5238 and 5243

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 5238, 5243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5238 and 5243 is 1.

GCF(5238,5243) = 1

GCF of 5238 and 5243

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

GCF of:
and

Greatest Common Factor of 5238 and 5243

GCF of 5238 and 5243 is 1

Prime Factorization of 5238


2 5238
3 2619
3 873
3 291
97 97
1

Prime factors of 5238 are 2,3,97. Prime factorization of 5238 in exponential form is:

5238 = 21×33×971

Prime Factorization of 5243


7 5243
7 749
107 107
1

Prime factors of 5243 are 7,107. Prime factorization of 5243 in exponential form is:

5243 = 72×1071

∴ So by taking common prime factors GCF of 5238 and 5243 is 1

Greatest Common Factor of 5238 and 5243 by matching factors method

Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238

Factors of 5243

List of positive integer factors of 5243 that divides 5243 without a remainder.

1,7,49,107,749,5243

Greatest Common Factor

We found the factors and prime factorization of 5238 and 5243. The biggest common factor number is the GCF number.
So the greatest common factor 5238 and 5243 is 1.

Also check out the Least Common Multiple of 5238 and 5243

Properties of GCF 5238 and 5243

(i) The GCF of 5238 and 5243 is associative

GCF of 5238 and 5243 = GCF of 5243 and 5238

Related Greatest Common Factor of 5238

Related Greatest Common Factor of 5243

Frequently Asked Questions on GCF of 5238 and 5243

1. What is the GCF of 5238 and 5243?

Answer: GCF of 5238 and 5243 is 1.

2. What are the Factors of 5238?

Answer: Factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238. There are 16 integers that are factors of 5238. The greatest factor of 5238 is 5238.

3. What are the Factors of 5243?

Answer: Factors of 5243 are 1, 7, 49, 107, 749, 5243. There are 6 integers that are factors of 5243. The greatest factor of 5243 is 5243.

4. How to Find the GCF of 5238 and 5243?

Answer:

Greatest Common Factor of 5238 and 5243 = 1

Step 1: Find the prime factorization of 5238

5238 = 2 x 3 x 3 x 3 x 97

Step 2: Find the prime factorization of 5243

5243 = 7 x 7 x 107

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 5238 and 5243 is 1