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 2762, 2764 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2762 and 2764 is 2.
GCF(2762,2764) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2762
2 | 2762 |
1381 | 1381 |
1 |
Prime factors of 2762 are 2,1381. Prime factorization of 2762 in exponential form is:
2762 = 21×13811
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 2762 and 2764 is 2
Factors of 2762
List of positive integer factors of 2762 that divides 2762 without a remainder.
1,2,1381,2762
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 2762 and 2764. The biggest common factor number is the GCF number.
So the greatest common factor 2762 and 2764 is 2.
Also check out the Least Common Multiple of 2762 and 2764
(i) The GCF of 2762 and 2764 is associative
GCF of 2762 and 2764 = GCF of 2764 and 2762
1. What is the GCF of 2762 and 2764?
Answer: GCF of 2762 and 2764 is 2.
2. What are the Factors of 2762?
Answer: Factors of 2762 are 1, 2, 1381, 2762. There are 4 integers that are factors of 2762. The greatest factor of 2762 is 2762.
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 2762 and 2764?
Answer:
Greatest Common Factor of 2762 and 2764 = 2
Step 1: Find the prime factorization of 2762
2762 = 2 x 1381
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 = 2
Step 4: Therefore, the greatest common factor of 2762 and 2764 is 2