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 7668, 7673 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7668 and 7673 is 1.
GCF(7668,7673) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7673
7673 | 7673 |
1 |
Prime factors of 7673 are 7673. Prime factorization of 7673 in exponential form is:
7673 = 76731
∴ So by taking common prime factors GCF of 7668 and 7673 is 1
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
Factors of 7673
List of positive integer factors of 7673 that divides 7673 without a remainder.
1,7673
Greatest Common Factor
We found the factors and prime factorization of 7668 and 7673. The biggest common factor number is the GCF number.
So the greatest common factor 7668 and 7673 is 1.
Also check out the Least Common Multiple of 7668 and 7673
(i) The GCF of 7668 and 7673 is associative
GCF of 7668 and 7673 = GCF of 7673 and 7668
1. What is the GCF of 7668 and 7673?
Answer: GCF of 7668 and 7673 is 1.
2. 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.
3. What are the Factors of 7673?
Answer: Factors of 7673 are 1, 7673. There are 2 integers that are factors of 7673. The greatest factor of 7673 is 7673.
4. How to Find the GCF of 7668 and 7673?
Answer:
Greatest Common Factor of 7668 and 7673 = 1
Step 1: Find the prime factorization of 7668
7668 = 2 x 2 x 3 x 3 x 3 x 71
Step 2: Find the prime factorization of 7673
7673 = 7673
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 7668 and 7673 is 1