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 7557, 7564 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7557 and 7564 is 1.
GCF(7557,7564) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7557
3 | 7557 |
11 | 2519 |
229 | 229 |
1 |
Prime factors of 7557 are 3,11,229. Prime factorization of 7557 in exponential form is:
7557 = 31×111×2291
Prime Factorization of 7564
2 | 7564 |
2 | 3782 |
31 | 1891 |
61 | 61 |
1 |
Prime factors of 7564 are 2,31,61. Prime factorization of 7564 in exponential form is:
7564 = 22×311×611
∴ So by taking common prime factors GCF of 7557 and 7564 is 1
Factors of 7557
List of positive integer factors of 7557 that divides 7557 without a remainder.
1,3,11,33,229,687,2519,7557
Factors of 7564
List of positive integer factors of 7564 that divides 7564 without a remainder.
1,2,4,31,61,62,122,124,244,1891,3782,7564
Greatest Common Factor
We found the factors and prime factorization of 7557 and 7564. The biggest common factor number is the GCF number.
So the greatest common factor 7557 and 7564 is 1.
Also check out the Least Common Multiple of 7557 and 7564
(i) The GCF of 7557 and 7564 is associative
GCF of 7557 and 7564 = GCF of 7564 and 7557
1. What is the GCF of 7557 and 7564?
Answer: GCF of 7557 and 7564 is 1.
2. What are the Factors of 7557?
Answer: Factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557. There are 8 integers that are factors of 7557. The greatest factor of 7557 is 7557.
3. What are the Factors of 7564?
Answer: Factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564. There are 12 integers that are factors of 7564. The greatest factor of 7564 is 7564.
4. How to Find the GCF of 7557 and 7564?
Answer:
Greatest Common Factor of 7557 and 7564 = 1
Step 1: Find the prime factorization of 7557
7557 = 3 x 11 x 229
Step 2: Find the prime factorization of 7564
7564 = 2 x 2 x 31 x 61
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 7557 and 7564 is 1