Greatest Common Factor of 5516 and 5521

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, 5521 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5516 and 5521 is 1.

GCF(5516,5521) = 1

GCF of 5516 and 5521

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

GCF of:
and

Greatest Common Factor of 5516 and 5521

GCF of 5516 and 5521 is 1

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 5521


5521 5521
1

Prime factors of 5521 are 5521. Prime factorization of 5521 in exponential form is:

5521 = 55211

∴ So by taking common prime factors GCF of 5516 and 5521 is 1

Greatest Common Factor of 5516 and 5521 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 5521

List of positive integer factors of 5521 that divides 5521 without a remainder.

1,5521

Greatest Common Factor

We found the factors and prime factorization of 5516 and 5521. The biggest common factor number is the GCF number.
So the greatest common factor 5516 and 5521 is 1.

Also check out the Least Common Multiple of 5516 and 5521

Properties of GCF 5516 and 5521

(i) The GCF of 5516 and 5521 is associative

GCF of 5516 and 5521 = GCF of 5521 and 5516

Frequently Asked Questions on GCF of 5516 and 5521

1. What is the GCF of 5516 and 5521?

Answer: GCF of 5516 and 5521 is 1.

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 5521?

Answer: Factors of 5521 are 1, 5521. There are 2 integers that are factors of 5521. The greatest factor of 5521 is 5521.

4. How to Find the GCF of 5516 and 5521?

Answer:

Greatest Common Factor of 5516 and 5521 = 1

Step 1: Find the prime factorization of 5516

5516 = 2 x 2 x 7 x 197

Step 2: Find the prime factorization of 5521

5521 = 5521

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 5516 and 5521 is 1