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 2708, 2716 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2708 and 2716 is 4.
GCF(2708,2716) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2708
2 | 2708 |
2 | 1354 |
677 | 677 |
1 |
Prime factors of 2708 are 2,677. Prime factorization of 2708 in exponential form is:
2708 = 22×6771
Prime Factorization of 2716
2 | 2716 |
2 | 1358 |
7 | 679 |
97 | 97 |
1 |
Prime factors of 2716 are 2,7,97. Prime factorization of 2716 in exponential form is:
2716 = 22×71×971
∴ So by taking common prime factors GCF of 2708 and 2716 is 4
Factors of 2708
List of positive integer factors of 2708 that divides 2708 without a remainder.
1,2,4,677,1354,2708
Factors of 2716
List of positive integer factors of 2716 that divides 2716 without a remainder.
1,2,4,7,14,28,97,194,388,679,1358,2716
Greatest Common Factor
We found the factors and prime factorization of 2708 and 2716. The biggest common factor number is the GCF number.
So the greatest common factor 2708 and 2716 is 4.
Also check out the Least Common Multiple of 2708 and 2716
(i) The GCF of 2708 and 2716 is associative
GCF of 2708 and 2716 = GCF of 2716 and 2708
1. What is the GCF of 2708 and 2716?
Answer: GCF of 2708 and 2716 is 4.
2. What are the Factors of 2708?
Answer: Factors of 2708 are 1, 2, 4, 677, 1354, 2708. There are 6 integers that are factors of 2708. The greatest factor of 2708 is 2708.
3. What are the Factors of 2716?
Answer: Factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716. There are 12 integers that are factors of 2716. The greatest factor of 2716 is 2716.
4. How to Find the GCF of 2708 and 2716?
Answer:
Greatest Common Factor of 2708 and 2716 = 4
Step 1: Find the prime factorization of 2708
2708 = 2 x 2 x 677
Step 2: Find the prime factorization of 2716
2716 = 2 x 2 x 7 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2708 and 2716 is 4