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 2754, 2758 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2754 and 2758 is 2.
GCF(2754,2758) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2754
2 | 2754 |
3 | 1377 |
3 | 459 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 2754 are 2,3,17. Prime factorization of 2754 in exponential form is:
2754 = 21×34×171
Prime Factorization of 2758
2 | 2758 |
7 | 1379 |
197 | 197 |
1 |
Prime factors of 2758 are 2,7,197. Prime factorization of 2758 in exponential form is:
2758 = 21×71×1971
∴ So by taking common prime factors GCF of 2754 and 2758 is 2
Factors of 2754
List of positive integer factors of 2754 that divides 2754 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754
Factors of 2758
List of positive integer factors of 2758 that divides 2758 without a remainder.
1,2,7,14,197,394,1379,2758
Greatest Common Factor
We found the factors and prime factorization of 2754 and 2758. The biggest common factor number is the GCF number.
So the greatest common factor 2754 and 2758 is 2.
Also check out the Least Common Multiple of 2754 and 2758
(i) The GCF of 2754 and 2758 is associative
GCF of 2754 and 2758 = GCF of 2758 and 2754
1. What is the GCF of 2754 and 2758?
Answer: GCF of 2754 and 2758 is 2.
2. What are the Factors of 2754?
Answer: Factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754. There are 20 integers that are factors of 2754. The greatest factor of 2754 is 2754.
3. What are the Factors of 2758?
Answer: Factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758. There are 8 integers that are factors of 2758. The greatest factor of 2758 is 2758.
4. How to Find the GCF of 2754 and 2758?
Answer:
Greatest Common Factor of 2754 and 2758 = 2
Step 1: Find the prime factorization of 2754
2754 = 2 x 3 x 3 x 3 x 3 x 17
Step 2: Find the prime factorization of 2758
2758 = 2 x 7 x 197
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 2754 and 2758 is 2