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 5754, 5761 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5754 and 5761 is 7.
GCF(5754,5761) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5754
2 | 5754 |
3 | 2877 |
7 | 959 |
137 | 137 |
1 |
Prime factors of 5754 are 2,3,7,137. Prime factorization of 5754 in exponential form is:
5754 = 21×31×71×1371
Prime Factorization of 5761
7 | 5761 |
823 | 823 |
1 |
Prime factors of 5761 are 7,823. Prime factorization of 5761 in exponential form is:
5761 = 71×8231
∴ So by taking common prime factors GCF of 5754 and 5761 is 7
Factors of 5754
List of positive integer factors of 5754 that divides 5754 without a remainder.
1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Factors of 5761
List of positive integer factors of 5761 that divides 5761 without a remainder.
1,7,823,5761
Greatest Common Factor
We found the factors and prime factorization of 5754 and 5761. The biggest common factor number is the GCF number.
So the greatest common factor 5754 and 5761 is 7.
Also check out the Least Common Multiple of 5754 and 5761
(i) The GCF of 5754 and 5761 is associative
GCF of 5754 and 5761 = GCF of 5761 and 5754
1. What is the GCF of 5754 and 5761?
Answer: GCF of 5754 and 5761 is 7.
2. What are the Factors of 5754?
Answer: Factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754. There are 16 integers that are factors of 5754. The greatest factor of 5754 is 5754.
3. What are the Factors of 5761?
Answer: Factors of 5761 are 1, 7, 823, 5761. There are 4 integers that are factors of 5761. The greatest factor of 5761 is 5761.
4. How to Find the GCF of 5754 and 5761?
Answer:
Greatest Common Factor of 5754 and 5761 = 7
Step 1: Find the prime factorization of 5754
5754 = 2 x 3 x 7 x 137
Step 2: Find the prime factorization of 5761
5761 = 7 x 823
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 5754 and 5761 is 7