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 5892, 5896 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5892 and 5896 is 4.
GCF(5892,5896) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5892
2 | 5892 |
2 | 2946 |
3 | 1473 |
491 | 491 |
1 |
Prime factors of 5892 are 2,3,491. Prime factorization of 5892 in exponential form is:
5892 = 22×31×4911
Prime Factorization of 5896
2 | 5896 |
2 | 2948 |
2 | 1474 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 5896 are 2,11,67. Prime factorization of 5896 in exponential form is:
5896 = 23×111×671
∴ So by taking common prime factors GCF of 5892 and 5896 is 4
Factors of 5892
List of positive integer factors of 5892 that divides 5892 without a remainder.
1,2,3,4,6,12,491,982,1473,1964,2946,5892
Factors of 5896
List of positive integer factors of 5896 that divides 5896 without a remainder.
1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896
Greatest Common Factor
We found the factors and prime factorization of 5892 and 5896. The biggest common factor number is the GCF number.
So the greatest common factor 5892 and 5896 is 4.
Also check out the Least Common Multiple of 5892 and 5896
(i) The GCF of 5892 and 5896 is associative
GCF of 5892 and 5896 = GCF of 5896 and 5892
1. What is the GCF of 5892 and 5896?
Answer: GCF of 5892 and 5896 is 4.
2. What are the Factors of 5892?
Answer: Factors of 5892 are 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892. There are 12 integers that are factors of 5892. The greatest factor of 5892 is 5892.
3. What are the Factors of 5896?
Answer: Factors of 5896 are 1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896. There are 16 integers that are factors of 5896. The greatest factor of 5896 is 5896.
4. How to Find the GCF of 5892 and 5896?
Answer:
Greatest Common Factor of 5892 and 5896 = 4
Step 1: Find the prime factorization of 5892
5892 = 2 x 2 x 3 x 491
Step 2: Find the prime factorization of 5896
5896 = 2 x 2 x 2 x 11 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5892 and 5896 is 4