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 7684, 7688 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7684 and 7688 is 4.
GCF(7684,7688) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7684
2 | 7684 |
2 | 3842 |
17 | 1921 |
113 | 113 |
1 |
Prime factors of 7684 are 2,17,113. Prime factorization of 7684 in exponential form is:
7684 = 22×171×1131
Prime Factorization of 7688
2 | 7688 |
2 | 3844 |
2 | 1922 |
31 | 961 |
31 | 31 |
1 |
Prime factors of 7688 are 2,31. Prime factorization of 7688 in exponential form is:
7688 = 23×312
∴ So by taking common prime factors GCF of 7684 and 7688 is 4
Factors of 7684
List of positive integer factors of 7684 that divides 7684 without a remainder.
1,2,4,17,34,68,113,226,452,1921,3842,7684
Factors of 7688
List of positive integer factors of 7688 that divides 7688 without a remainder.
1,2,4,8,31,62,124,248,961,1922,3844,7688
Greatest Common Factor
We found the factors and prime factorization of 7684 and 7688. The biggest common factor number is the GCF number.
So the greatest common factor 7684 and 7688 is 4.
Also check out the Least Common Multiple of 7684 and 7688
(i) The GCF of 7684 and 7688 is associative
GCF of 7684 and 7688 = GCF of 7688 and 7684
1. What is the GCF of 7684 and 7688?
Answer: GCF of 7684 and 7688 is 4.
2. What are the Factors of 7684?
Answer: Factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684. There are 12 integers that are factors of 7684. The greatest factor of 7684 is 7684.
3. What are the Factors of 7688?
Answer: Factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688. There are 12 integers that are factors of 7688. The greatest factor of 7688 is 7688.
4. How to Find the GCF of 7684 and 7688?
Answer:
Greatest Common Factor of 7684 and 7688 = 4
Step 1: Find the prime factorization of 7684
7684 = 2 x 2 x 17 x 113
Step 2: Find the prime factorization of 7688
7688 = 2 x 2 x 2 x 31 x 31
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 7684 and 7688 is 4