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 2775, 2783 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2775 and 2783 is 1.
GCF(2775,2783) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2775
3 | 2775 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 2775 are 3,5,37. Prime factorization of 2775 in exponential form is:
2775 = 31×52×371
Prime Factorization of 2783
11 | 2783 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 2783 are 11,23. Prime factorization of 2783 in exponential form is:
2783 = 112×231
∴ So by taking common prime factors GCF of 2775 and 2783 is 1
Factors of 2775
List of positive integer factors of 2775 that divides 2775 without a remainder.
1,3,5,15,25,37,75,111,185,555,925,2775
Factors of 2783
List of positive integer factors of 2783 that divides 2783 without a remainder.
1,11,23,121,253,2783
Greatest Common Factor
We found the factors and prime factorization of 2775 and 2783. The biggest common factor number is the GCF number.
So the greatest common factor 2775 and 2783 is 1.
Also check out the Least Common Multiple of 2775 and 2783
(i) The GCF of 2775 and 2783 is associative
GCF of 2775 and 2783 = GCF of 2783 and 2775
1. What is the GCF of 2775 and 2783?
Answer: GCF of 2775 and 2783 is 1.
2. What are the Factors of 2775?
Answer: Factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775. There are 12 integers that are factors of 2775. The greatest factor of 2775 is 2775.
3. What are the Factors of 2783?
Answer: Factors of 2783 are 1, 11, 23, 121, 253, 2783. There are 6 integers that are factors of 2783. The greatest factor of 2783 is 2783.
4. How to Find the GCF of 2775 and 2783?
Answer:
Greatest Common Factor of 2775 and 2783 = 1
Step 1: Find the prime factorization of 2775
2775 = 3 x 5 x 5 x 37
Step 2: Find the prime factorization of 2783
2783 = 11 x 11 x 23
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 2775 and 2783 is 1