Greatest Common Factor of 5516 and 5522

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 5516, 5522 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5516 and 5522 is 2.

GCF(5516,5522) = 2

GCF of 5516 and 5522

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

GCF of:
and

Greatest Common Factor of 5516 and 5522

GCF of 5516 and 5522 is 2

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

Prime Factorization of 5522


2 5522
11 2761
251 251
1

Prime factors of 5522 are 2,11,251. Prime factorization of 5522 in exponential form is:

5522 = 21×111×2511

∴ So by taking common prime factors GCF of 5516 and 5522 is 2

Greatest Common Factor of 5516 and 5522 by matching factors method

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

Factors of 5522

List of positive integer factors of 5522 that divides 5522 without a remainder.

1,2,11,22,251,502,2761,5522

Greatest Common Factor

We found the factors and prime factorization of 5516 and 5522. The biggest common factor number is the GCF number.
So the greatest common factor 5516 and 5522 is 2.

Also check out the Least Common Multiple of 5516 and 5522

Properties of GCF 5516 and 5522

(i) The GCF of 5516 and 5522 is associative

GCF of 5516 and 5522 = GCF of 5522 and 5516

Related Greatest Common Factor of 5516

Related Greatest Common Factor of 5522

Frequently Asked Questions on GCF of 5516 and 5522

1. What is the GCF of 5516 and 5522?

Answer: GCF of 5516 and 5522 is 2.

2. 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.

3. What are the Factors of 5522?

Answer: Factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522. There are 8 integers that are factors of 5522. The greatest factor of 5522 is 5522.

4. How to Find the GCF of 5516 and 5522?

Answer:

Greatest Common Factor of 5516 and 5522 = 2

Step 1: Find the prime factorization of 5516

5516 = 2 x 2 x 7 x 197

Step 2: Find the prime factorization of 5522

5522 = 2 x 11 x 251

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 5516 and 5522 is 2