Greatest Common Factor of 5498 and 5504

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 5498, 5504 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5498 and 5504 is 2.

GCF(5498,5504) = 2

GCF of 5498 and 5504

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

GCF of:
and

Greatest Common Factor of 5498 and 5504

GCF of 5498 and 5504 is 2

Prime Factorization of 5498


2 5498
2749 2749
1

Prime factors of 5498 are 2,2749. Prime factorization of 5498 in exponential form is:

5498 = 21×27491

Prime Factorization of 5504


2 5504
2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:

5504 = 27×431

∴ So by taking common prime factors GCF of 5498 and 5504 is 2

Greatest Common Factor of 5498 and 5504 by matching factors method

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1,2,2749,5498

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Greatest Common Factor

We found the factors and prime factorization of 5498 and 5504. The biggest common factor number is the GCF number.
So the greatest common factor 5498 and 5504 is 2.

Also check out the Least Common Multiple of 5498 and 5504

Properties of GCF 5498 and 5504

(i) The GCF of 5498 and 5504 is associative

GCF of 5498 and 5504 = GCF of 5504 and 5498

Related Greatest Common Factor of 5498

Related Greatest Common Factor of 5504

Frequently Asked Questions on GCF of 5498 and 5504

1. What is the GCF of 5498 and 5504?

Answer: GCF of 5498 and 5504 is 2.

2. What are the Factors of 5498?

Answer: Factors of 5498 are 1, 2, 2749, 5498. There are 4 integers that are factors of 5498. The greatest factor of 5498 is 5498.

3. What are the Factors of 5504?

Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.

4. How to Find the GCF of 5498 and 5504?

Answer:

Greatest Common Factor of 5498 and 5504 = 2

Step 1: Find the prime factorization of 5498

5498 = 2 x 2749

Step 2: Find the prime factorization of 5504

5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43

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 5498 and 5504 is 2