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 2713, 2720 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2713 and 2720 is 1.
GCF(2713,2720) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2713
2713 | 2713 |
1 |
Prime factors of 2713 are 2713. Prime factorization of 2713 in exponential form is:
2713 = 27131
Prime Factorization of 2720
2 | 2720 |
2 | 1360 |
2 | 680 |
2 | 340 |
2 | 170 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 2720 are 2.Prime factorization of 2720 in exponential form is:
2720 = 25×51×171
∴ So by taking common prime factors GCF of 2713 and 2720 is 1
Factors of 2713
List of positive integer factors of 2713 that divides 2713 without a remainder.
1,2713
Factors of 2720
List of positive integer factors of 2720 that divides 2720 without a remainder.
1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Greatest Common Factor
We found the factors and prime factorization of 2713 and 2720. The biggest common factor number is the GCF number.
So the greatest common factor 2713 and 2720 is 1.
Also check out the Least Common Multiple of 2713 and 2720
(i) The GCF of 2713 and 2720 is associative
GCF of 2713 and 2720 = GCF of 2720 and 2713
1. What is the GCF of 2713 and 2720?
Answer: GCF of 2713 and 2720 is 1.
2. What are the Factors of 2713?
Answer: Factors of 2713 are 1, 2713. There are 2 integers that are factors of 2713. The greatest factor of 2713 is 2713.
3. What are the Factors of 2720?
Answer: Factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720. There are 24 integers that are factors of 2720. The greatest factor of 2720 is 2720.
4. How to Find the GCF of 2713 and 2720?
Answer:
Greatest Common Factor of 2713 and 2720 = 1
Step 1: Find the prime factorization of 2713
2713 = 2713
Step 2: Find the prime factorization of 2720
2720 = 2 x 2 x 2 x 2 x 2 x 5 x 17
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 2713 and 2720 is 1