Greatest Common Factor of 5558 and 5565

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 5558, 5565 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5558 and 5565 is 7.

GCF(5558,5565) = 7

GCF of 5558 and 5565

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

GCF of:
and

Greatest Common Factor of 5558 and 5565

GCF of 5558 and 5565 is 7

Prime Factorization of 5558


2 5558
7 2779
397 397
1

Prime factors of 5558 are 2,7,397. Prime factorization of 5558 in exponential form is:

5558 = 21×71×3971

Prime Factorization of 5565


3 5565
5 1855
7 371
53 53
1

Prime factors of 5565 are 3,5,7,53. Prime factorization of 5565 in exponential form is:

5565 = 31×51×71×531

∴ So by taking common prime factors GCF of 5558 and 5565 is 7

Greatest Common Factor of 5558 and 5565 by matching factors method

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1,2,7,14,397,794,2779,5558

Factors of 5565

List of positive integer factors of 5565 that divides 5565 without a remainder.

1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565

Greatest Common Factor

We found the factors and prime factorization of 5558 and 5565. The biggest common factor number is the GCF number.
So the greatest common factor 5558 and 5565 is 7.

Also check out the Least Common Multiple of 5558 and 5565

Properties of GCF 5558 and 5565

(i) The GCF of 5558 and 5565 is associative

GCF of 5558 and 5565 = GCF of 5565 and 5558

Related Greatest Common Factor of 5558

Related Greatest Common Factor of 5565

Frequently Asked Questions on GCF of 5558 and 5565

1. What is the GCF of 5558 and 5565?

Answer: GCF of 5558 and 5565 is 7.

2. What are the Factors of 5558?

Answer: Factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558. There are 8 integers that are factors of 5558. The greatest factor of 5558 is 5558.

3. What are the Factors of 5565?

Answer: Factors of 5565 are 1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565. There are 16 integers that are factors of 5565. The greatest factor of 5565 is 5565.

4. How to Find the GCF of 5558 and 5565?

Answer:

Greatest Common Factor of 5558 and 5565 = 7

Step 1: Find the prime factorization of 5558

5558 = 2 x 7 x 397

Step 2: Find the prime factorization of 5565

5565 = 3 x 5 x 7 x 53

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5558 and 5565 is 7