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, 2769 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2763 and 2769 is 3.
GCF(2763,2769) = 3
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 2769
3 | 2769 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 2769 are 3,13,71. Prime factorization of 2769 in exponential form is:
2769 = 31×131×711
∴ So by taking common prime factors GCF of 2763 and 2769 is 3
Factors of 2763
List of positive integer factors of 2763 that divides 2763 without a remainder.
1,3,9,307,921,2763
Factors of 2769
List of positive integer factors of 2769 that divides 2769 without a remainder.
1,3,13,39,71,213,923,2769
Greatest Common Factor
We found the factors and prime factorization of 2763 and 2769. The biggest common factor number is the GCF number.
So the greatest common factor 2763 and 2769 is 3.
Also check out the Least Common Multiple of 2763 and 2769
(i) The GCF of 2763 and 2769 is associative
GCF of 2763 and 2769 = GCF of 2769 and 2763
1. What is the GCF of 2763 and 2769?
Answer: GCF of 2763 and 2769 is 3.
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 2769?
Answer: Factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769. There are 8 integers that are factors of 2769. The greatest factor of 2769 is 2769.
4. How to Find the GCF of 2763 and 2769?
Answer:
Greatest Common Factor of 2763 and 2769 = 3
Step 1: Find the prime factorization of 2763
2763 = 3 x 3 x 307
Step 2: Find the prime factorization of 2769
2769 = 3 x 13 x 71
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 2763 and 2769 is 3