Greatest Common Factor of 5240 and 5248

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 5240, 5248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5240 and 5248 is 8.

GCF(5240,5248) = 8

GCF of 5240 and 5248

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

GCF of:
and

Greatest Common Factor of 5240 and 5248

GCF of 5240 and 5248 is 8

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

Prime Factorization of 5248


2 5248
2 2624
2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 5248 are 2,41. Prime factorization of 5248 in exponential form is:

5248 = 27×411

∴ So by taking common prime factors GCF of 5240 and 5248 is 8

Greatest Common Factor of 5240 and 5248 by matching factors method

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

Factors of 5248

List of positive integer factors of 5248 that divides 5248 without a remainder.

1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248

Greatest Common Factor

We found the factors and prime factorization of 5240 and 5248. The biggest common factor number is the GCF number.
So the greatest common factor 5240 and 5248 is 8.

Also check out the Least Common Multiple of 5240 and 5248

Properties of GCF 5240 and 5248

(i) The GCF of 5240 and 5248 is associative

GCF of 5240 and 5248 = GCF of 5248 and 5240

Related Greatest Common Factor of 5240

Related Greatest Common Factor of 5248

Frequently Asked Questions on GCF of 5240 and 5248

1. What is the GCF of 5240 and 5248?

Answer: GCF of 5240 and 5248 is 8.

2. 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.

3. What are the Factors of 5248?

Answer: Factors of 5248 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624, 5248. There are 16 integers that are factors of 5248. The greatest factor of 5248 is 5248.

4. How to Find the GCF of 5240 and 5248?

Answer:

Greatest Common Factor of 5240 and 5248 = 8

Step 1: Find the prime factorization of 5240

5240 = 2 x 2 x 2 x 5 x 131

Step 2: Find the prime factorization of 5248

5248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 41

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5240 and 5248 is 8