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 2750, 2751 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2750 and 2751 is 1.
GCF(2750,2751) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2750
2 | 2750 |
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 2750 are 2,5,11. Prime factorization of 2750 in exponential form is:
2750 = 21×53×111
Prime Factorization of 2751
3 | 2751 |
7 | 917 |
131 | 131 |
1 |
Prime factors of 2751 are 3,7,131. Prime factorization of 2751 in exponential form is:
2751 = 31×71×1311
∴ So by taking common prime factors GCF of 2750 and 2751 is 1
Factors of 2750
List of positive integer factors of 2750 that divides 2750 without a remainder.
1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750
Factors of 2751
List of positive integer factors of 2751 that divides 2751 without a remainder.
1,3,7,21,131,393,917,2751
Greatest Common Factor
We found the factors and prime factorization of 2750 and 2751. The biggest common factor number is the GCF number.
So the greatest common factor 2750 and 2751 is 1.
Also check out the Least Common Multiple of 2750 and 2751
(i) The GCF of 2750 and 2751 is associative
GCF of 2750 and 2751 = GCF of 2751 and 2750
1. What is the GCF of 2750 and 2751?
Answer: GCF of 2750 and 2751 is 1.
2. What are the Factors of 2750?
Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.
3. What are the Factors of 2751?
Answer: Factors of 2751 are 1, 3, 7, 21, 131, 393, 917, 2751. There are 8 integers that are factors of 2751. The greatest factor of 2751 is 2751.
4. How to Find the GCF of 2750 and 2751?
Answer:
Greatest Common Factor of 2750 and 2751 = 1
Step 1: Find the prime factorization of 2750
2750 = 2 x 5 x 5 x 5 x 11
Step 2: Find the prime factorization of 2751
2751 = 3 x 7 x 131
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 2750 and 2751 is 1