Greatest Common Factor of 5486 and 5490

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 5486, 5490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5486 and 5490 is 2.

GCF(5486,5490) = 2

GCF of 5486 and 5490

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

GCF of:
and

Greatest Common Factor of 5486 and 5490

GCF of 5486 and 5490 is 2

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

Prime Factorization of 5490


2 5490
3 2745
3 915
5 305
61 61
1

Prime factors of 5490 are 2,3,5,61. Prime factorization of 5490 in exponential form is:

5490 = 21×32×51×611

∴ So by taking common prime factors GCF of 5486 and 5490 is 2

Greatest Common Factor of 5486 and 5490 by matching factors method

Factors of 5486

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

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

Factors of 5490

List of positive integer factors of 5490 that divides 5490 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490

Greatest Common Factor

We found the factors and prime factorization of 5486 and 5490. The biggest common factor number is the GCF number.
So the greatest common factor 5486 and 5490 is 2.

Also check out the Least Common Multiple of 5486 and 5490

Properties of GCF 5486 and 5490

(i) The GCF of 5486 and 5490 is associative

GCF of 5486 and 5490 = GCF of 5490 and 5486

Related Greatest Common Factor of 5486

Related Greatest Common Factor of 5490

Frequently Asked Questions on GCF of 5486 and 5490

1. What is the GCF of 5486 and 5490?

Answer: GCF of 5486 and 5490 is 2.

2. 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.

3. What are the Factors of 5490?

Answer: Factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490. There are 24 integers that are factors of 5490. The greatest factor of 5490 is 5490.

4. How to Find the GCF of 5486 and 5490?

Answer:

Greatest Common Factor of 5486 and 5490 = 2

Step 1: Find the prime factorization of 5486

5486 = 2 x 13 x 211

Step 2: Find the prime factorization of 5490

5490 = 2 x 3 x 3 x 5 x 61

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 5486 and 5490 is 2