Greatest Common Factor of 5498 and 5499

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, 5499 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5498 and 5499 is 1.

GCF(5498,5499) = 1

GCF of 5498 and 5499

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

GCF of:
and

Greatest Common Factor of 5498 and 5499

GCF of 5498 and 5499 is 1

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 5499


3 5499
3 1833
13 611
47 47
1

Prime factors of 5499 are 3,13,47. Prime factorization of 5499 in exponential form is:

5499 = 32×131×471

∴ So by taking common prime factors GCF of 5498 and 5499 is 1

Greatest Common Factor of 5498 and 5499 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 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1,3,9,13,39,47,117,141,423,611,1833,5499

Greatest Common Factor

We found the factors and prime factorization of 5498 and 5499. The biggest common factor number is the GCF number.
So the greatest common factor 5498 and 5499 is 1.

Also check out the Least Common Multiple of 5498 and 5499

Properties of GCF 5498 and 5499

(i) The GCF of 5498 and 5499 is associative

GCF of 5498 and 5499 = GCF of 5499 and 5498

Related Greatest Common Factor of 5498

Related Greatest Common Factor of 5499

Frequently Asked Questions on GCF of 5498 and 5499

1. What is the GCF of 5498 and 5499?

Answer: GCF of 5498 and 5499 is 1.

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 5499?

Answer: Factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499. There are 12 integers that are factors of 5499. The greatest factor of 5499 is 5499.

4. How to Find the GCF of 5498 and 5499?

Answer:

Greatest Common Factor of 5498 and 5499 = 1

Step 1: Find the prime factorization of 5498

5498 = 2 x 2749

Step 2: Find the prime factorization of 5499

5499 = 3 x 3 x 13 x 47

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5498 and 5499 is 1