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 7566, 7567 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7566 and 7567 is 1.
GCF(7566,7567) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7566
2 | 7566 |
3 | 3783 |
13 | 1261 |
97 | 97 |
1 |
Prime factors of 7566 are 2,3,13,97. Prime factorization of 7566 in exponential form is:
7566 = 21×31×131×971
Prime Factorization of 7567
7 | 7567 |
23 | 1081 |
47 | 47 |
1 |
Prime factors of 7567 are 7,23,47. Prime factorization of 7567 in exponential form is:
7567 = 71×231×471
∴ So by taking common prime factors GCF of 7566 and 7567 is 1
Factors of 7566
List of positive integer factors of 7566 that divides 7566 without a remainder.
1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566
Factors of 7567
List of positive integer factors of 7567 that divides 7567 without a remainder.
1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors and prime factorization of 7566 and 7567. The biggest common factor number is the GCF number.
So the greatest common factor 7566 and 7567 is 1.
Also check out the Least Common Multiple of 7566 and 7567
(i) The GCF of 7566 and 7567 is associative
GCF of 7566 and 7567 = GCF of 7567 and 7566
1. What is the GCF of 7566 and 7567?
Answer: GCF of 7566 and 7567 is 1.
2. What are the Factors of 7566?
Answer: Factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566. There are 16 integers that are factors of 7566. The greatest factor of 7566 is 7566.
3. What are the Factors of 7567?
Answer: Factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567. There are 8 integers that are factors of 7567. The greatest factor of 7567 is 7567.
4. How to Find the GCF of 7566 and 7567?
Answer:
Greatest Common Factor of 7566 and 7567 = 1
Step 1: Find the prime factorization of 7566
7566 = 2 x 3 x 13 x 97
Step 2: Find the prime factorization of 7567
7567 = 7 x 23 x 47
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 7566 and 7567 is 1