Greatest Common Factor of 8549 and 8550

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 8549, 8550 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8549 and 8550 is 1.

GCF(8549,8550) = 1

GCF of 8549 and 8550

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

GCF of:
and

Greatest Common Factor of 8549 and 8550

GCF of 8549 and 8550 is 1

Prime Factorization of 8549


83 8549
103 103
1

Prime factors of 8549 are 83,103. Prime factorization of 8549 in exponential form is:

8549 = 831×1031

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

∴ So by taking common prime factors GCF of 8549 and 8550 is 1

Greatest Common Factor of 8549 and 8550 by matching factors method

Factors of 8549

List of positive integer factors of 8549 that divides 8549 without a remainder.

1,83,103,8549

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

Greatest Common Factor

We found the factors and prime factorization of 8549 and 8550. The biggest common factor number is the GCF number.
So the greatest common factor 8549 and 8550 is 1.

Also check out the Least Common Multiple of 8549 and 8550

Properties of GCF 8549 and 8550

(i) The GCF of 8549 and 8550 is associative

GCF of 8549 and 8550 = GCF of 8550 and 8549

Frequently Asked Questions on GCF of 8549 and 8550

1. What is the GCF of 8549 and 8550?

Answer: GCF of 8549 and 8550 is 1.

2. What are the Factors of 8549?

Answer: Factors of 8549 are 1, 83, 103, 8549. There are 4 integers that are factors of 8549. The greatest factor of 8549 is 8549.

3. 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.

4. How to Find the GCF of 8549 and 8550?

Answer:

Greatest Common Factor of 8549 and 8550 = 1

Step 1: Find the prime factorization of 8549

8549 = 83 x 103

Step 2: Find the prime factorization of 8550

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

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8549 and 8550 is 1