Greatest Common Factor of 4550 and 4558

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 4550, 4558 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4550 and 4558 is 2.

GCF(4550,4558) = 2

GCF of 4550 and 4558

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

GCF of:
and

Greatest Common Factor of 4550 and 4558

GCF of 4550 and 4558 is 2

Prime Factorization of 4550


2 4550
5 2275
5 455
7 91
13 13
1

Prime factors of 4550 are 2,5,7,13. Prime factorization of 4550 in exponential form is:

4550 = 21×52×71×131

Prime Factorization of 4558


2 4558
43 2279
53 53
1

Prime factors of 4558 are 2,43,53. Prime factorization of 4558 in exponential form is:

4558 = 21×431×531

∴ So by taking common prime factors GCF of 4550 and 4558 is 2

Greatest Common Factor of 4550 and 4558 by matching factors method

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550

Factors of 4558

List of positive integer factors of 4558 that divides 4558 without a remainder.

1,2,43,53,86,106,2279,4558

Greatest Common Factor

We found the factors and prime factorization of 4550 and 4558. The biggest common factor number is the GCF number.
So the greatest common factor 4550 and 4558 is 2.

Also check out the Least Common Multiple of 4550 and 4558

Properties of GCF 4550 and 4558

(i) The GCF of 4550 and 4558 is associative

GCF of 4550 and 4558 = GCF of 4558 and 4550

Related Greatest Common Factor of 4550

Related Greatest Common Factor of 4558

Frequently Asked Questions on GCF of 4550 and 4558

1. What is the GCF of 4550 and 4558?

Answer: GCF of 4550 and 4558 is 2.

2. What are the Factors of 4550?

Answer: Factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550. There are 24 integers that are factors of 4550. The greatest factor of 4550 is 4550.

3. What are the Factors of 4558?

Answer: Factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558. There are 8 integers that are factors of 4558. The greatest factor of 4558 is 4558.

4. How to Find the GCF of 4550 and 4558?

Answer:

Greatest Common Factor of 4550 and 4558 = 2

Step 1: Find the prime factorization of 4550

4550 = 2 x 5 x 5 x 7 x 13

Step 2: Find the prime factorization of 4558

4558 = 2 x 43 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4550 and 4558 is 2