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 2747, 2755 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2747 and 2755 is 1.
GCF(2747,2755) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2747
41 | 2747 |
67 | 67 |
1 |
Prime factors of 2747 are 41,67. Prime factorization of 2747 in exponential form is:
2747 = 411×671
Prime Factorization of 2755
5 | 2755 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 2755 are 5,19,29. Prime factorization of 2755 in exponential form is:
2755 = 51×191×291
∴ So by taking common prime factors GCF of 2747 and 2755 is 1
Factors of 2747
List of positive integer factors of 2747 that divides 2747 without a remainder.
1,41,67,2747
Factors of 2755
List of positive integer factors of 2755 that divides 2755 without a remainder.
1,5,19,29,95,145,551,2755
Greatest Common Factor
We found the factors and prime factorization of 2747 and 2755. The biggest common factor number is the GCF number.
So the greatest common factor 2747 and 2755 is 1.
Also check out the Least Common Multiple of 2747 and 2755
(i) The GCF of 2747 and 2755 is associative
GCF of 2747 and 2755 = GCF of 2755 and 2747
1. What is the GCF of 2747 and 2755?
Answer: GCF of 2747 and 2755 is 1.
2. What are the Factors of 2747?
Answer: Factors of 2747 are 1, 41, 67, 2747. There are 4 integers that are factors of 2747. The greatest factor of 2747 is 2747.
3. What are the Factors of 2755?
Answer: Factors of 2755 are 1, 5, 19, 29, 95, 145, 551, 2755. There are 8 integers that are factors of 2755. The greatest factor of 2755 is 2755.
4. How to Find the GCF of 2747 and 2755?
Answer:
Greatest Common Factor of 2747 and 2755 = 1
Step 1: Find the prime factorization of 2747
2747 = 41 x 67
Step 2: Find the prime factorization of 2755
2755 = 5 x 19 x 29
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 2747 and 2755 is 1