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 5753, 5757 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5753 and 5757 is 1.
GCF(5753,5757) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5753
11 | 5753 |
523 | 523 |
1 |
Prime factors of 5753 are 11,523. Prime factorization of 5753 in exponential form is:
5753 = 111×5231
Prime Factorization of 5757
3 | 5757 |
19 | 1919 |
101 | 101 |
1 |
Prime factors of 5757 are 3,19,101. Prime factorization of 5757 in exponential form is:
5757 = 31×191×1011
∴ So by taking common prime factors GCF of 5753 and 5757 is 1
Factors of 5753
List of positive integer factors of 5753 that divides 5753 without a remainder.
1,11,523,5753
Factors of 5757
List of positive integer factors of 5757 that divides 5757 without a remainder.
1,3,19,57,101,303,1919,5757
Greatest Common Factor
We found the factors and prime factorization of 5753 and 5757. The biggest common factor number is the GCF number.
So the greatest common factor 5753 and 5757 is 1.
Also check out the Least Common Multiple of 5753 and 5757
(i) The GCF of 5753 and 5757 is associative
GCF of 5753 and 5757 = GCF of 5757 and 5753
1. What is the GCF of 5753 and 5757?
Answer: GCF of 5753 and 5757 is 1.
2. What are the Factors of 5753?
Answer: Factors of 5753 are 1, 11, 523, 5753. There are 4 integers that are factors of 5753. The greatest factor of 5753 is 5753.
3. What are the Factors of 5757?
Answer: Factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757. There are 8 integers that are factors of 5757. The greatest factor of 5757 is 5757.
4. How to Find the GCF of 5753 and 5757?
Answer:
Greatest Common Factor of 5753 and 5757 = 1
Step 1: Find the prime factorization of 5753
5753 = 11 x 523
Step 2: Find the prime factorization of 5757
5757 = 3 x 19 x 101
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 5753 and 5757 is 1