Greatest Common Factor of 5234 and 5240

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, 5240 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5234 and 5240 is 2.

GCF(5234,5240) = 2

GCF of 5234 and 5240

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

GCF of:
and

Greatest Common Factor of 5234 and 5240

GCF of 5234 and 5240 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 5240


2 5240
2 2620
2 1310
5 655
131 131
1

Prime factors of 5240 are 2,5,131. Prime factorization of 5240 in exponential form is:

5240 = 23×51×1311

∴ So by taking common prime factors GCF of 5234 and 5240 is 2

Greatest Common Factor of 5234 and 5240 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 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240

Greatest Common Factor

We found the factors and prime factorization of 5234 and 5240. The biggest common factor number is the GCF number.
So the greatest common factor 5234 and 5240 is 2.

Also check out the Least Common Multiple of 5234 and 5240

Properties of GCF 5234 and 5240

(i) The GCF of 5234 and 5240 is associative

GCF of 5234 and 5240 = GCF of 5240 and 5234

Related Greatest Common Factor of 5234

Related Greatest Common Factor of 5240

Frequently Asked Questions on GCF of 5234 and 5240

1. What is the GCF of 5234 and 5240?

Answer: GCF of 5234 and 5240 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 5240?

Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.

4. How to Find the GCF of 5234 and 5240?

Answer:

Greatest Common Factor of 5234 and 5240 = 2

Step 1: Find the prime factorization of 5234

5234 = 2 x 2617

Step 2: Find the prime factorization of 5240

5240 = 2 x 2 x 2 x 5 x 131

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 5240 is 2