Greatest Common Factor of 5480 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 5480, 5486 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5480 and 5486 is 2.

GCF(5480,5486) = 2

GCF of 5480 and 5486

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

GCF of:
and

Greatest Common Factor of 5480 and 5486

GCF of 5480 and 5486 is 2

Prime Factorization of 5480


2 5480
2 2740
2 1370
5 685
137 137
1

Prime factors of 5480 are 2,5,137. Prime factorization of 5480 in exponential form is:

5480 = 23×51×1371

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 5480 and 5486 is 2

Greatest Common Factor of 5480 and 5486 by matching factors method

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

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 5480 and 5486. The biggest common factor number is the GCF number.
So the greatest common factor 5480 and 5486 is 2.

Also check out the Least Common Multiple of 5480 and 5486

Properties of GCF 5480 and 5486

(i) The GCF of 5480 and 5486 is associative

GCF of 5480 and 5486 = GCF of 5486 and 5480

Related Greatest Common Factor of 5480

Related Greatest Common Factor of 5486

Frequently Asked Questions on GCF of 5480 and 5486

1. What is the GCF of 5480 and 5486?

Answer: GCF of 5480 and 5486 is 2.

2. What are the Factors of 5480?

Answer: Factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. There are 16 integers that are factors of 5480. The greatest factor of 5480 is 5480.

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 5480 and 5486?

Answer:

Greatest Common Factor of 5480 and 5486 = 2

Step 1: Find the prime factorization of 5480

5480 = 2 x 2 x 2 x 5 x 137

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 5480 and 5486 is 2