Greatest Common Factor of 5492 and 5498

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 5492, 5498 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5492 and 5498 is 2.

GCF(5492,5498) = 2

GCF of 5492 and 5498

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

GCF of:
and

Greatest Common Factor of 5492 and 5498

GCF of 5492 and 5498 is 2

Prime Factorization of 5492


2 5492
2 2746
1373 1373
1

Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:

5492 = 22×13731

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

∴ So by taking common prime factors GCF of 5492 and 5498 is 2

Greatest Common Factor of 5492 and 5498 by matching factors method

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1,2,4,1373,2746,5492

Factors of 5498

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

1,2,2749,5498

Greatest Common Factor

We found the factors and prime factorization of 5492 and 5498. The biggest common factor number is the GCF number.
So the greatest common factor 5492 and 5498 is 2.

Also check out the Least Common Multiple of 5492 and 5498

Properties of GCF 5492 and 5498

(i) The GCF of 5492 and 5498 is associative

GCF of 5492 and 5498 = GCF of 5498 and 5492

Related Greatest Common Factor of 5492

Related Greatest Common Factor of 5498

Frequently Asked Questions on GCF of 5492 and 5498

1. What is the GCF of 5492 and 5498?

Answer: GCF of 5492 and 5498 is 2.

2. What are the Factors of 5492?

Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.

3. 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.

4. How to Find the GCF of 5492 and 5498?

Answer:

Greatest Common Factor of 5492 and 5498 = 2

Step 1: Find the prime factorization of 5492

5492 = 2 x 2 x 1373

Step 2: Find the prime factorization of 5498

5498 = 2 x 2749

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 5492 and 5498 is 2