Greatest Common Factor of 5510 and 5518

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 5510, 5518 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5510 and 5518 is 2.

GCF(5510,5518) = 2

GCF of 5510 and 5518

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

GCF of:
and

Greatest Common Factor of 5510 and 5518

GCF of 5510 and 5518 is 2

Prime Factorization of 5510


2 5510
5 2755
19 551
29 29
1

Prime factors of 5510 are 2,5,19,29. Prime factorization of 5510 in exponential form is:

5510 = 21×51×191×291

Prime Factorization of 5518


2 5518
31 2759
89 89
1

Prime factors of 5518 are 2,31,89. Prime factorization of 5518 in exponential form is:

5518 = 21×311×891

∴ So by taking common prime factors GCF of 5510 and 5518 is 2

Greatest Common Factor of 5510 and 5518 by matching factors method

Factors of 5510

List of positive integer factors of 5510 that divides 5510 without a remainder.

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Factors of 5518

List of positive integer factors of 5518 that divides 5518 without a remainder.

1,2,31,62,89,178,2759,5518

Greatest Common Factor

We found the factors and prime factorization of 5510 and 5518. The biggest common factor number is the GCF number.
So the greatest common factor 5510 and 5518 is 2.

Also check out the Least Common Multiple of 5510 and 5518

Properties of GCF 5510 and 5518

(i) The GCF of 5510 and 5518 is associative

GCF of 5510 and 5518 = GCF of 5518 and 5510

Related Greatest Common Factor of 5510

Related Greatest Common Factor of 5518

Frequently Asked Questions on GCF of 5510 and 5518

1. What is the GCF of 5510 and 5518?

Answer: GCF of 5510 and 5518 is 2.

2. What are the Factors of 5510?

Answer: Factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510. There are 16 integers that are factors of 5510. The greatest factor of 5510 is 5510.

3. What are the Factors of 5518?

Answer: Factors of 5518 are 1, 2, 31, 62, 89, 178, 2759, 5518. There are 8 integers that are factors of 5518. The greatest factor of 5518 is 5518.

4. How to Find the GCF of 5510 and 5518?

Answer:

Greatest Common Factor of 5510 and 5518 = 2

Step 1: Find the prime factorization of 5510

5510 = 2 x 5 x 19 x 29

Step 2: Find the prime factorization of 5518

5518 = 2 x 31 x 89

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 5510 and 5518 is 2