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 2763, 2764 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2763 and 2764 is 1.
GCF(2763,2764) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2763
3 | 2763 |
3 | 921 |
307 | 307 |
1 |
Prime factors of 2763 are 3,307. Prime factorization of 2763 in exponential form is:
2763 = 32×3071
Prime Factorization of 2764
2 | 2764 |
2 | 1382 |
691 | 691 |
1 |
Prime factors of 2764 are 2,691. Prime factorization of 2764 in exponential form is:
2764 = 22×6911
∴ So by taking common prime factors GCF of 2763 and 2764 is 1
Factors of 2763
List of positive integer factors of 2763 that divides 2763 without a remainder.
1,3,9,307,921,2763
Factors of 2764
List of positive integer factors of 2764 that divides 2764 without a remainder.
1,2,4,691,1382,2764
Greatest Common Factor
We found the factors and prime factorization of 2763 and 2764. The biggest common factor number is the GCF number.
So the greatest common factor 2763 and 2764 is 1.
Also check out the Least Common Multiple of 2763 and 2764
(i) The GCF of 2763 and 2764 is associative
GCF of 2763 and 2764 = GCF of 2764 and 2763
1. What is the GCF of 2763 and 2764?
Answer: GCF of 2763 and 2764 is 1.
2. What are the Factors of 2763?
Answer: Factors of 2763 are 1, 3, 9, 307, 921, 2763. There are 6 integers that are factors of 2763. The greatest factor of 2763 is 2763.
3. What are the Factors of 2764?
Answer: Factors of 2764 are 1, 2, 4, 691, 1382, 2764. There are 6 integers that are factors of 2764. The greatest factor of 2764 is 2764.
4. How to Find the GCF of 2763 and 2764?
Answer:
Greatest Common Factor of 2763 and 2764 = 1
Step 1: Find the prime factorization of 2763
2763 = 3 x 3 x 307
Step 2: Find the prime factorization of 2764
2764 = 2 x 2 x 691
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 2763 and 2764 is 1