Greatest Common Factor of 5551 and 5558

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 5551, 5558 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5551 and 5558 is 7.

GCF(5551,5558) = 7

GCF of 5551 and 5558

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

GCF of:
and

Greatest Common Factor of 5551 and 5558

GCF of 5551 and 5558 is 7

Prime Factorization of 5551


7 5551
13 793
61 61
1

Prime factors of 5551 are 7,13,61. Prime factorization of 5551 in exponential form is:

5551 = 71×131×611

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

∴ So by taking common prime factors GCF of 5551 and 5558 is 7

Greatest Common Factor of 5551 and 5558 by matching factors method

Factors of 5551

List of positive integer factors of 5551 that divides 5551 without a remainder.

1,7,13,61,91,427,793,5551

Factors of 5558

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

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

Greatest Common Factor

We found the factors and prime factorization of 5551 and 5558. The biggest common factor number is the GCF number.
So the greatest common factor 5551 and 5558 is 7.

Also check out the Least Common Multiple of 5551 and 5558

Properties of GCF 5551 and 5558

(i) The GCF of 5551 and 5558 is associative

GCF of 5551 and 5558 = GCF of 5558 and 5551

Related Greatest Common Factor of 5551

Related Greatest Common Factor of 5558

Frequently Asked Questions on GCF of 5551 and 5558

1. What is the GCF of 5551 and 5558?

Answer: GCF of 5551 and 5558 is 7.

2. What are the Factors of 5551?

Answer: Factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551. There are 8 integers that are factors of 5551. The greatest factor of 5551 is 5551.

3. 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.

4. How to Find the GCF of 5551 and 5558?

Answer:

Greatest Common Factor of 5551 and 5558 = 7

Step 1: Find the prime factorization of 5551

5551 = 7 x 13 x 61

Step 2: Find the prime factorization of 5558

5558 = 2 x 7 x 397

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 5551 and 5558 is 7