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 7551, 7558 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7551 and 7558 is 1.
GCF(7551,7558) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7551
3 | 7551 |
3 | 2517 |
839 | 839 |
1 |
Prime factors of 7551 are 3,839. Prime factorization of 7551 in exponential form is:
7551 = 32×8391
Prime Factorization of 7558
2 | 7558 |
3779 | 3779 |
1 |
Prime factors of 7558 are 2,3779. Prime factorization of 7558 in exponential form is:
7558 = 21×37791
∴ So by taking common prime factors GCF of 7551 and 7558 is 1
Factors of 7551
List of positive integer factors of 7551 that divides 7551 without a remainder.
1,3,9,839,2517,7551
Factors of 7558
List of positive integer factors of 7558 that divides 7558 without a remainder.
1,2,3779,7558
Greatest Common Factor
We found the factors and prime factorization of 7551 and 7558. The biggest common factor number is the GCF number.
So the greatest common factor 7551 and 7558 is 1.
Also check out the Least Common Multiple of 7551 and 7558
(i) The GCF of 7551 and 7558 is associative
GCF of 7551 and 7558 = GCF of 7558 and 7551
1. What is the GCF of 7551 and 7558?
Answer: GCF of 7551 and 7558 is 1.
2. What are the Factors of 7551?
Answer: Factors of 7551 are 1, 3, 9, 839, 2517, 7551. There are 6 integers that are factors of 7551. The greatest factor of 7551 is 7551.
3. What are the Factors of 7558?
Answer: Factors of 7558 are 1, 2, 3779, 7558. There are 4 integers that are factors of 7558. The greatest factor of 7558 is 7558.
4. How to Find the GCF of 7551 and 7558?
Answer:
Greatest Common Factor of 7551 and 7558 = 1
Step 1: Find the prime factorization of 7551
7551 = 3 x 3 x 839
Step 2: Find the prime factorization of 7558
7558 = 2 x 3779
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 7551 and 7558 is 1