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 7665, 7668 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7665 and 7668 is 3.
GCF(7665,7668) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7665
3 | 7665 |
5 | 2555 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 7665 are 3,5,7,73. Prime factorization of 7665 in exponential form is:
7665 = 31×51×71×731
Prime Factorization of 7668
2 | 7668 |
2 | 3834 |
3 | 1917 |
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 7668 are 2,3,71. Prime factorization of 7668 in exponential form is:
7668 = 22×33×711
∴ So by taking common prime factors GCF of 7665 and 7668 is 3
Factors of 7665
List of positive integer factors of 7665 that divides 7665 without a remainder.
1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Factors of 7668
List of positive integer factors of 7668 that divides 7668 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Greatest Common Factor
We found the factors and prime factorization of 7665 and 7668. The biggest common factor number is the GCF number.
So the greatest common factor 7665 and 7668 is 3.
Also check out the Least Common Multiple of 7665 and 7668
(i) The GCF of 7665 and 7668 is associative
GCF of 7665 and 7668 = GCF of 7668 and 7665
1. What is the GCF of 7665 and 7668?
Answer: GCF of 7665 and 7668 is 3.
2. What are the Factors of 7665?
Answer: Factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665. There are 16 integers that are factors of 7665. The greatest factor of 7665 is 7665.
3. What are the Factors of 7668?
Answer: Factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668. There are 24 integers that are factors of 7668. The greatest factor of 7668 is 7668.
4. How to Find the GCF of 7665 and 7668?
Answer:
Greatest Common Factor of 7665 and 7668 = 3
Step 1: Find the prime factorization of 7665
7665 = 3 x 5 x 7 x 73
Step 2: Find the prime factorization of 7668
7668 = 2 x 2 x 3 x 3 x 3 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7665 and 7668 is 3