Greatest Common Factor of 4546 and 4550

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 4546, 4550 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4546 and 4550 is 2.

GCF(4546,4550) = 2

GCF of 4546 and 4550

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

GCF of:
and

Greatest Common Factor of 4546 and 4550

GCF of 4546 and 4550 is 2

Prime Factorization of 4546


2 4546
2273 2273
1

Prime factors of 4546 are 2,2273. Prime factorization of 4546 in exponential form is:

4546 = 21×22731

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

∴ So by taking common prime factors GCF of 4546 and 4550 is 2

Greatest Common Factor of 4546 and 4550 by matching factors method

Factors of 4546

List of positive integer factors of 4546 that divides 4546 without a remainder.

1,2,2273,4546

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

Greatest Common Factor

We found the factors and prime factorization of 4546 and 4550. The biggest common factor number is the GCF number.
So the greatest common factor 4546 and 4550 is 2.

Also check out the Least Common Multiple of 4546 and 4550

Properties of GCF 4546 and 4550

(i) The GCF of 4546 and 4550 is associative

GCF of 4546 and 4550 = GCF of 4550 and 4546

Related Greatest Common Factor of 4546

Related Greatest Common Factor of 4550

Frequently Asked Questions on GCF of 4546 and 4550

1. What is the GCF of 4546 and 4550?

Answer: GCF of 4546 and 4550 is 2.

2. What are the Factors of 4546?

Answer: Factors of 4546 are 1, 2, 2273, 4546. There are 4 integers that are factors of 4546. The greatest factor of 4546 is 4546.

3. 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.

4. How to Find the GCF of 4546 and 4550?

Answer:

Greatest Common Factor of 4546 and 4550 = 2

Step 1: Find the prime factorization of 4546

4546 = 2 x 2273

Step 2: Find the prime factorization of 4550

4550 = 2 x 5 x 5 x 7 x 13

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 4546 and 4550 is 2