Greatest Common Factor of 5482 and 5486

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 5482, 5486 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5482 and 5486 is 2.

GCF(5482,5486) = 2

GCF of 5482 and 5486

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

GCF of:
and

Greatest Common Factor of 5482 and 5486

GCF of 5482 and 5486 is 2

Prime Factorization of 5482


2 5482
2741 2741
1

Prime factors of 5482 are 2,2741. Prime factorization of 5482 in exponential form is:

5482 = 21×27411

Prime Factorization of 5486


2 5486
13 2743
211 211
1

Prime factors of 5486 are 2,13,211. Prime factorization of 5486 in exponential form is:

5486 = 21×131×2111

∴ So by taking common prime factors GCF of 5482 and 5486 is 2

Greatest Common Factor of 5482 and 5486 by matching factors method

Factors of 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1,2,2741,5482

Factors of 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1,2,13,26,211,422,2743,5486

Greatest Common Factor

We found the factors and prime factorization of 5482 and 5486. The biggest common factor number is the GCF number.
So the greatest common factor 5482 and 5486 is 2.

Also check out the Least Common Multiple of 5482 and 5486

Properties of GCF 5482 and 5486

(i) The GCF of 5482 and 5486 is associative

GCF of 5482 and 5486 = GCF of 5486 and 5482

Related Greatest Common Factor of 5482

Related Greatest Common Factor of 5486

Frequently Asked Questions on GCF of 5482 and 5486

1. What is the GCF of 5482 and 5486?

Answer: GCF of 5482 and 5486 is 2.

2. What are the Factors of 5482?

Answer: Factors of 5482 are 1, 2, 2741, 5482. There are 4 integers that are factors of 5482. The greatest factor of 5482 is 5482.

3. What are the Factors of 5486?

Answer: Factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486. There are 8 integers that are factors of 5486. The greatest factor of 5486 is 5486.

4. How to Find the GCF of 5482 and 5486?

Answer:

Greatest Common Factor of 5482 and 5486 = 2

Step 1: Find the prime factorization of 5482

5482 = 2 x 2741

Step 2: Find the prime factorization of 5486

5486 = 2 x 13 x 211

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 5482 and 5486 is 2