Greatest Common Factor of 5238 and 5241

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, 5241 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5238 and 5241 is 3.

GCF(5238,5241) = 3

GCF of 5238 and 5241

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

GCF of:
and

Greatest Common Factor of 5238 and 5241

GCF of 5238 and 5241 is 3

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 5241


3 5241
1747 1747
1

Prime factors of 5241 are 3,1747. Prime factorization of 5241 in exponential form is:

5241 = 31×17471

∴ So by taking common prime factors GCF of 5238 and 5241 is 3

Greatest Common Factor of 5238 and 5241 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 5241

List of positive integer factors of 5241 that divides 5241 without a remainder.

1,3,1747,5241

Greatest Common Factor

We found the factors and prime factorization of 5238 and 5241. The biggest common factor number is the GCF number.
So the greatest common factor 5238 and 5241 is 3.

Also check out the Least Common Multiple of 5238 and 5241

Properties of GCF 5238 and 5241

(i) The GCF of 5238 and 5241 is associative

GCF of 5238 and 5241 = GCF of 5241 and 5238

Related Greatest Common Factor of 5238

Related Greatest Common Factor of 5241

Frequently Asked Questions on GCF of 5238 and 5241

1. What is the GCF of 5238 and 5241?

Answer: GCF of 5238 and 5241 is 3.

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 5241?

Answer: Factors of 5241 are 1, 3, 1747, 5241. There are 4 integers that are factors of 5241. The greatest factor of 5241 is 5241.

4. How to Find the GCF of 5238 and 5241?

Answer:

Greatest Common Factor of 5238 and 5241 = 3

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 5241

5241 = 3 x 1747

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 5238 and 5241 is 3