Greatest Common Factor of 4550 and 4555

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, 4555 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4550 and 4555 is 5.

GCF(4550,4555) = 5

GCF of 4550 and 4555

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

GCF of:
and

Greatest Common Factor of 4550 and 4555

GCF of 4550 and 4555 is 5

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 4555


5 4555
911 911
1

Prime factors of 4555 are 5,911. Prime factorization of 4555 in exponential form is:

4555 = 51×9111

∴ So by taking common prime factors GCF of 4550 and 4555 is 5

Greatest Common Factor of 4550 and 4555 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 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1,5,911,4555

Greatest Common Factor

We found the factors and prime factorization of 4550 and 4555. The biggest common factor number is the GCF number.
So the greatest common factor 4550 and 4555 is 5.

Also check out the Least Common Multiple of 4550 and 4555

Properties of GCF 4550 and 4555

(i) The GCF of 4550 and 4555 is associative

GCF of 4550 and 4555 = GCF of 4555 and 4550

Frequently Asked Questions on GCF of 4550 and 4555

1. What is the GCF of 4550 and 4555?

Answer: GCF of 4550 and 4555 is 5.

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 4555?

Answer: Factors of 4555 are 1, 5, 911, 4555. There are 4 integers that are factors of 4555. The greatest factor of 4555 is 4555.

4. How to Find the GCF of 4550 and 4555?

Answer:

Greatest Common Factor of 4550 and 4555 = 5

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 4555

4555 = 5 x 911

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4550 and 4555 is 5