Greatest Common Factor of 5488 and 5496

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 5488, 5496 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5488 and 5496 is 8.

GCF(5488,5496) = 8

GCF of 5488 and 5496

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

GCF of:
and

Greatest Common Factor of 5488 and 5496

GCF of 5488 and 5496 is 8

Prime Factorization of 5488


2 5488
2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:

5488 = 24×73

Prime Factorization of 5496


2 5496
2 2748
2 1374
3 687
229 229
1

Prime factors of 5496 are 2,3,229. Prime factorization of 5496 in exponential form is:

5496 = 23×31×2291

∴ So by taking common prime factors GCF of 5488 and 5496 is 8

Greatest Common Factor of 5488 and 5496 by matching factors method

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488

Factors of 5496

List of positive integer factors of 5496 that divides 5496 without a remainder.

1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496

Greatest Common Factor

We found the factors and prime factorization of 5488 and 5496. The biggest common factor number is the GCF number.
So the greatest common factor 5488 and 5496 is 8.

Also check out the Least Common Multiple of 5488 and 5496

Properties of GCF 5488 and 5496

(i) The GCF of 5488 and 5496 is associative

GCF of 5488 and 5496 = GCF of 5496 and 5488

Related Greatest Common Factor of 5488

Related Greatest Common Factor of 5496

Frequently Asked Questions on GCF of 5488 and 5496

1. What is the GCF of 5488 and 5496?

Answer: GCF of 5488 and 5496 is 8.

2. What are the Factors of 5488?

Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.

3. What are the Factors of 5496?

Answer: Factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496. There are 16 integers that are factors of 5496. The greatest factor of 5496 is 5496.

4. How to Find the GCF of 5488 and 5496?

Answer:

Greatest Common Factor of 5488 and 5496 = 8

Step 1: Find the prime factorization of 5488

5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 5496

5496 = 2 x 2 x 2 x 3 x 229

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 5488 and 5496 is 8