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 7587, 7593 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7587 and 7593 is 3.
GCF(7587,7593) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7587
3 | 7587 |
3 | 2529 |
3 | 843 |
281 | 281 |
1 |
Prime factors of 7587 are 3,281. Prime factorization of 7587 in exponential form is:
7587 = 33×2811
Prime Factorization of 7593
3 | 7593 |
2531 | 2531 |
1 |
Prime factors of 7593 are 3,2531. Prime factorization of 7593 in exponential form is:
7593 = 31×25311
∴ So by taking common prime factors GCF of 7587 and 7593 is 3
Factors of 7587
List of positive integer factors of 7587 that divides 7587 without a remainder.
1,3,9,27,281,843,2529,7587
Factors of 7593
List of positive integer factors of 7593 that divides 7593 without a remainder.
1,3,2531,7593
Greatest Common Factor
We found the factors and prime factorization of 7587 and 7593. The biggest common factor number is the GCF number.
So the greatest common factor 7587 and 7593 is 3.
Also check out the Least Common Multiple of 7587 and 7593
(i) The GCF of 7587 and 7593 is associative
GCF of 7587 and 7593 = GCF of 7593 and 7587
1. What is the GCF of 7587 and 7593?
Answer: GCF of 7587 and 7593 is 3.
2. What are the Factors of 7587?
Answer: Factors of 7587 are 1, 3, 9, 27, 281, 843, 2529, 7587. There are 8 integers that are factors of 7587. The greatest factor of 7587 is 7587.
3. What are the Factors of 7593?
Answer: Factors of 7593 are 1, 3, 2531, 7593. There are 4 integers that are factors of 7593. The greatest factor of 7593 is 7593.
4. How to Find the GCF of 7587 and 7593?
Answer:
Greatest Common Factor of 7587 and 7593 = 3
Step 1: Find the prime factorization of 7587
7587 = 3 x 3 x 3 x 281
Step 2: Find the prime factorization of 7593
7593 = 3 x 2531
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 7587 and 7593 is 3