Greatest Common Factor of 5552 and 5560

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 5552, 5560 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5552 and 5560 is 8.

GCF(5552,5560) = 8

GCF of 5552 and 5560

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

GCF of:
and

Greatest Common Factor of 5552 and 5560

GCF of 5552 and 5560 is 8

Prime Factorization of 5552


2 5552
2 2776
2 1388
2 694
347 347
1

Prime factors of 5552 are 2,347. Prime factorization of 5552 in exponential form is:

5552 = 24×3471

Prime Factorization of 5560


2 5560
2 2780
2 1390
5 695
139 139
1

Prime factors of 5560 are 2,5,139. Prime factorization of 5560 in exponential form is:

5560 = 23×51×1391

∴ So by taking common prime factors GCF of 5552 and 5560 is 8

Greatest Common Factor of 5552 and 5560 by matching factors method

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1,2,4,8,16,347,694,1388,2776,5552

Factors of 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560

Greatest Common Factor

We found the factors and prime factorization of 5552 and 5560. The biggest common factor number is the GCF number.
So the greatest common factor 5552 and 5560 is 8.

Also check out the Least Common Multiple of 5552 and 5560

Properties of GCF 5552 and 5560

(i) The GCF of 5552 and 5560 is associative

GCF of 5552 and 5560 = GCF of 5560 and 5552

Related Greatest Common Factor of 5552

Related Greatest Common Factor of 5560

Frequently Asked Questions on GCF of 5552 and 5560

1. What is the GCF of 5552 and 5560?

Answer: GCF of 5552 and 5560 is 8.

2. What are the Factors of 5552?

Answer: Factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552. There are 10 integers that are factors of 5552. The greatest factor of 5552 is 5552.

3. What are the Factors of 5560?

Answer: Factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560. There are 16 integers that are factors of 5560. The greatest factor of 5560 is 5560.

4. How to Find the GCF of 5552 and 5560?

Answer:

Greatest Common Factor of 5552 and 5560 = 8

Step 1: Find the prime factorization of 5552

5552 = 2 x 2 x 2 x 2 x 347

Step 2: Find the prime factorization of 5560

5560 = 2 x 2 x 2 x 5 x 139

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5552 and 5560 is 8