Greatest Common Factor of 5512 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 5512, 5516 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5512 and 5516 is 4.

GCF(5512,5516) = 4

GCF of 5512 and 5516

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

GCF of:
and

Greatest Common Factor of 5512 and 5516

GCF of 5512 and 5516 is 4

Prime Factorization of 5512


2 5512
2 2756
2 1378
13 689
53 53
1

Prime factors of 5512 are 2,13,53. Prime factorization of 5512 in exponential form is:

5512 = 23×131×531

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 5512 and 5516 is 4

Greatest Common Factor of 5512 and 5516 by matching factors method

Factors of 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

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 5512 and 5516. The biggest common factor number is the GCF number.
So the greatest common factor 5512 and 5516 is 4.

Also check out the Least Common Multiple of 5512 and 5516

Properties of GCF 5512 and 5516

(i) The GCF of 5512 and 5516 is associative

GCF of 5512 and 5516 = GCF of 5516 and 5512

Related Greatest Common Factor of 5512

Related Greatest Common Factor of 5516

Frequently Asked Questions on GCF of 5512 and 5516

1. What is the GCF of 5512 and 5516?

Answer: GCF of 5512 and 5516 is 4.

2. What are the Factors of 5512?

Answer: Factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512. There are 16 integers that are factors of 5512. The greatest factor of 5512 is 5512.

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 5512 and 5516?

Answer:

Greatest Common Factor of 5512 and 5516 = 4

Step 1: Find the prime factorization of 5512

5512 = 2 x 2 x 2 x 13 x 53

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 5512 and 5516 is 4