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 7713, 7714 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7713 and 7714 is 1.
GCF(7713,7714) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7713
3 | 7713 |
3 | 2571 |
857 | 857 |
1 |
Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:
7713 = 32×8571
Prime Factorization of 7714
2 | 7714 |
7 | 3857 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 7714 are 2,7,19,29. Prime factorization of 7714 in exponential form is:
7714 = 21×71×191×291
∴ So by taking common prime factors GCF of 7713 and 7714 is 1
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1,3,9,857,2571,7713
Factors of 7714
List of positive integer factors of 7714 that divides 7714 without a remainder.
1,2,7,14,19,29,38,58,133,203,266,406,551,1102,3857,7714
Greatest Common Factor
We found the factors and prime factorization of 7713 and 7714. The biggest common factor number is the GCF number.
So the greatest common factor 7713 and 7714 is 1.
Also check out the Least Common Multiple of 7713 and 7714
(i) The GCF of 7713 and 7714 is associative
GCF of 7713 and 7714 = GCF of 7714 and 7713
1. What is the GCF of 7713 and 7714?
Answer: GCF of 7713 and 7714 is 1.
2. What are the Factors of 7713?
Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.
3. What are the Factors of 7714?
Answer: Factors of 7714 are 1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714. There are 16 integers that are factors of 7714. The greatest factor of 7714 is 7714.
4. How to Find the GCF of 7713 and 7714?
Answer:
Greatest Common Factor of 7713 and 7714 = 1
Step 1: Find the prime factorization of 7713
7713 = 3 x 3 x 857
Step 2: Find the prime factorization of 7714
7714 = 2 x 7 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 7713 and 7714 is 1