Greatest Common Factor of 5234 and 5238

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 5234, 5238 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5234 and 5238 is 2.

GCF(5234,5238) = 2

GCF of 5234 and 5238

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

GCF of:
and

Greatest Common Factor of 5234 and 5238

GCF of 5234 and 5238 is 2

Prime Factorization of 5234


2 5234
2617 2617
1

Prime factors of 5234 are 2,2617. Prime factorization of 5234 in exponential form is:

5234 = 21×26171

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

∴ So by taking common prime factors GCF of 5234 and 5238 is 2

Greatest Common Factor of 5234 and 5238 by matching factors method

Factors of 5234

List of positive integer factors of 5234 that divides 5234 without a remainder.

1,2,2617,5234

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

Greatest Common Factor

We found the factors and prime factorization of 5234 and 5238. The biggest common factor number is the GCF number.
So the greatest common factor 5234 and 5238 is 2.

Also check out the Least Common Multiple of 5234 and 5238

Properties of GCF 5234 and 5238

(i) The GCF of 5234 and 5238 is associative

GCF of 5234 and 5238 = GCF of 5238 and 5234

Related Greatest Common Factor of 5234

Related Greatest Common Factor of 5238

Frequently Asked Questions on GCF of 5234 and 5238

1. What is the GCF of 5234 and 5238?

Answer: GCF of 5234 and 5238 is 2.

2. What are the Factors of 5234?

Answer: Factors of 5234 are 1, 2, 2617, 5234. There are 4 integers that are factors of 5234. The greatest factor of 5234 is 5234.

3. 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.

4. How to Find the GCF of 5234 and 5238?

Answer:

Greatest Common Factor of 5234 and 5238 = 2

Step 1: Find the prime factorization of 5234

5234 = 2 x 2617

Step 2: Find the prime factorization of 5238

5238 = 2 x 3 x 3 x 3 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5234 and 5238 is 2