Greatest Common Factor of 5510 and 5516

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, 5516 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5510 and 5516 is 2.

GCF(5510,5516) = 2

GCF of 5510 and 5516

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

GCF of:
and

Greatest Common Factor of 5510 and 5516

GCF of 5510 and 5516 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 5516


2 5516
2 2758
7 1379
197 197
1

Prime factors of 5516 are 2,7,197. Prime factorization of 5516 in exponential form is:

5516 = 22×71×1971

∴ So by taking common prime factors GCF of 5510 and 5516 is 2

Greatest Common Factor of 5510 and 5516 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 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1,2,4,7,14,28,197,394,788,1379,2758,5516

Greatest Common Factor

We found the factors and prime factorization of 5510 and 5516. The biggest common factor number is the GCF number.
So the greatest common factor 5510 and 5516 is 2.

Also check out the Least Common Multiple of 5510 and 5516

Properties of GCF 5510 and 5516

(i) The GCF of 5510 and 5516 is associative

GCF of 5510 and 5516 = GCF of 5516 and 5510

Related Greatest Common Factor of 5510

Related Greatest Common Factor of 5516

Frequently Asked Questions on GCF of 5510 and 5516

1. What is the GCF of 5510 and 5516?

Answer: GCF of 5510 and 5516 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 5516?

Answer: Factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516. There are 12 integers that are factors of 5516. The greatest factor of 5516 is 5516.

4. How to Find the GCF of 5510 and 5516?

Answer:

Greatest Common Factor of 5510 and 5516 = 2

Step 1: Find the prime factorization of 5510

5510 = 2 x 5 x 19 x 29

Step 2: Find the prime factorization of 5516

5516 = 2 x 2 x 7 x 197

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 5516 is 2