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 7718, 7724 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7718 and 7724 is 2.
GCF(7718,7724) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7718
2 | 7718 |
17 | 3859 |
227 | 227 |
1 |
Prime factors of 7718 are 2,17,227. Prime factorization of 7718 in exponential form is:
7718 = 21×171×2271
Prime Factorization of 7724
2 | 7724 |
2 | 3862 |
1931 | 1931 |
1 |
Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:
7724 = 22×19311
∴ So by taking common prime factors GCF of 7718 and 7724 is 2
Factors of 7718
List of positive integer factors of 7718 that divides 7718 without a remainder.
1,2,17,34,227,454,3859,7718
Factors of 7724
List of positive integer factors of 7724 that divides 7724 without a remainder.
1,2,4,1931,3862,7724
Greatest Common Factor
We found the factors and prime factorization of 7718 and 7724. The biggest common factor number is the GCF number.
So the greatest common factor 7718 and 7724 is 2.
Also check out the Least Common Multiple of 7718 and 7724
(i) The GCF of 7718 and 7724 is associative
GCF of 7718 and 7724 = GCF of 7724 and 7718
1. What is the GCF of 7718 and 7724?
Answer: GCF of 7718 and 7724 is 2.
2. What are the Factors of 7718?
Answer: Factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718. There are 8 integers that are factors of 7718. The greatest factor of 7718 is 7718.
3. What are the Factors of 7724?
Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.
4. How to Find the GCF of 7718 and 7724?
Answer:
Greatest Common Factor of 7718 and 7724 = 2
Step 1: Find the prime factorization of 7718
7718 = 2 x 17 x 227
Step 2: Find the prime factorization of 7724
7724 = 2 x 2 x 1931
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 7718 and 7724 is 2