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 2547, 2550 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2547 and 2550 is 3.
GCF(2547,2550) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2547
3 | 2547 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 2547 are 3,283. Prime factorization of 2547 in exponential form is:
2547 = 32×2831
Prime Factorization of 2550
2 | 2550 |
3 | 1275 |
5 | 425 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 2550 are 2,3,5,17. Prime factorization of 2550 in exponential form is:
2550 = 21×31×52×171
∴ So by taking common prime factors GCF of 2547 and 2550 is 3
Factors of 2547
List of positive integer factors of 2547 that divides 2547 without a remainder.
1,3,9,283,849,2547
Factors of 2550
List of positive integer factors of 2550 that divides 2550 without a remainder.
1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550
Greatest Common Factor
We found the factors and prime factorization of 2547 and 2550. The biggest common factor number is the GCF number.
So the greatest common factor 2547 and 2550 is 3.
Also check out the Least Common Multiple of 2547 and 2550
(i) The GCF of 2547 and 2550 is associative
GCF of 2547 and 2550 = GCF of 2550 and 2547
1. What is the GCF of 2547 and 2550?
Answer: GCF of 2547 and 2550 is 3.
2. What are the Factors of 2547?
Answer: Factors of 2547 are 1, 3, 9, 283, 849, 2547. There are 6 integers that are factors of 2547. The greatest factor of 2547 is 2547.
3. What are the Factors of 2550?
Answer: Factors of 2550 are 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550. There are 24 integers that are factors of 2550. The greatest factor of 2550 is 2550.
4. How to Find the GCF of 2547 and 2550?
Answer:
Greatest Common Factor of 2547 and 2550 = 3
Step 1: Find the prime factorization of 2547
2547 = 3 x 3 x 283
Step 2: Find the prime factorization of 2550
2550 = 2 x 3 x 5 x 5 x 17
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 2547 and 2550 is 3