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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 8549 and 8550 is associative
GCF of 8549 and 8550 = GCF of 8550 and 8549
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