Greatest Common Factor of 8550 and 8553

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 8550, 8553 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8550 and 8553 is 3.

GCF(8550,8553) = 3

GCF of 8550 and 8553

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

GCF of:
and

Greatest Common Factor of 8550 and 8553

GCF of 8550 and 8553 is 3

Prime Factorization of 8550


2 8550
3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 8550 are 2,3,5,19. Prime factorization of 8550 in exponential form is:

8550 = 21×32×52×191

Prime Factorization of 8553


3 8553
2851 2851
1

Prime factors of 8553 are 3,2851. Prime factorization of 8553 in exponential form is:

8553 = 31×28511

∴ So by taking common prime factors GCF of 8550 and 8553 is 3

Greatest Common Factor of 8550 and 8553 by matching factors method

Factors of 8550

List of positive integer factors of 8550 that divides 8550 without a remainder.

1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550

Factors of 8553

List of positive integer factors of 8553 that divides 8553 without a remainder.

1,3,2851,8553

Greatest Common Factor

We found the factors and prime factorization of 8550 and 8553. The biggest common factor number is the GCF number.
So the greatest common factor 8550 and 8553 is 3.

Also check out the Least Common Multiple of 8550 and 8553

Properties of GCF 8550 and 8553

(i) The GCF of 8550 and 8553 is associative

GCF of 8550 and 8553 = GCF of 8553 and 8550

Related Greatest Common Factor of 8550

Related Greatest Common Factor of 8553

Frequently Asked Questions on GCF of 8550 and 8553

1. What is the GCF of 8550 and 8553?

Answer: GCF of 8550 and 8553 is 3.

2. What are the Factors of 8550?

Answer: Factors of 8550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550. There are 36 integers that are factors of 8550. The greatest factor of 8550 is 8550.

3. What are the Factors of 8553?

Answer: Factors of 8553 are 1, 3, 2851, 8553. There are 4 integers that are factors of 8553. The greatest factor of 8553 is 8553.

4. How to Find the GCF of 8550 and 8553?

Answer:

Greatest Common Factor of 8550 and 8553 = 3

Step 1: Find the prime factorization of 8550

8550 = 2 x 3 x 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 8553

8553 = 3 x 2851

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8550 and 8553 is 3