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 5874, 5876 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5874 and 5876 is 2.
GCF(5874,5876) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5874
2 | 5874 |
3 | 2937 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 5874 are 2,3,11,89. Prime factorization of 5874 in exponential form is:
5874 = 21×31×111×891
Prime Factorization of 5876
2 | 5876 |
2 | 2938 |
13 | 1469 |
113 | 113 |
1 |
Prime factors of 5876 are 2,13,113. Prime factorization of 5876 in exponential form is:
5876 = 22×131×1131
∴ So by taking common prime factors GCF of 5874 and 5876 is 2
Factors of 5874
List of positive integer factors of 5874 that divides 5874 without a remainder.
1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874
Factors of 5876
List of positive integer factors of 5876 that divides 5876 without a remainder.
1,2,4,13,26,52,113,226,452,1469,2938,5876
Greatest Common Factor
We found the factors and prime factorization of 5874 and 5876. The biggest common factor number is the GCF number.
So the greatest common factor 5874 and 5876 is 2.
Also check out the Least Common Multiple of 5874 and 5876
(i) The GCF of 5874 and 5876 is associative
GCF of 5874 and 5876 = GCF of 5876 and 5874
1. What is the GCF of 5874 and 5876?
Answer: GCF of 5874 and 5876 is 2.
2. What are the Factors of 5874?
Answer: Factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874. There are 16 integers that are factors of 5874. The greatest factor of 5874 is 5874.
3. What are the Factors of 5876?
Answer: Factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876. There are 12 integers that are factors of 5876. The greatest factor of 5876 is 5876.
4. How to Find the GCF of 5874 and 5876?
Answer:
Greatest Common Factor of 5874 and 5876 = 2
Step 1: Find the prime factorization of 5874
5874 = 2 x 3 x 11 x 89
Step 2: Find the prime factorization of 5876
5876 = 2 x 2 x 13 x 113
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5874 and 5876 is 2