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 5568, 5574 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5568 and 5574 is 6.
GCF(5568,5574) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5568
2 | 5568 |
2 | 2784 |
2 | 1392 |
2 | 696 |
2 | 348 |
2 | 174 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 5568 are 2,3,29. Prime factorization of 5568 in exponential form is:
5568 = 26×31×291
Prime Factorization of 5574
2 | 5574 |
3 | 2787 |
929 | 929 |
1 |
Prime factors of 5574 are 2,3,929. Prime factorization of 5574 in exponential form is:
5574 = 21×31×9291
∴ So by taking common prime factors GCF of 5568 and 5574 is 6
Factors of 5568
List of positive integer factors of 5568 that divides 5568 without a remainder.
1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568
Factors of 5574
List of positive integer factors of 5574 that divides 5574 without a remainder.
1,2,3,6,929,1858,2787,5574
Greatest Common Factor
We found the factors and prime factorization of 5568 and 5574. The biggest common factor number is the GCF number.
So the greatest common factor 5568 and 5574 is 6.
Also check out the Least Common Multiple of 5568 and 5574
(i) The GCF of 5568 and 5574 is associative
GCF of 5568 and 5574 = GCF of 5574 and 5568
1. What is the GCF of 5568 and 5574?
Answer: GCF of 5568 and 5574 is 6.
2. What are the Factors of 5568?
Answer: Factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568. There are 28 integers that are factors of 5568. The greatest factor of 5568 is 5568.
3. What are the Factors of 5574?
Answer: Factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574. There are 8 integers that are factors of 5574. The greatest factor of 5574 is 5574.
4. How to Find the GCF of 5568 and 5574?
Answer:
Greatest Common Factor of 5568 and 5574 = 6
Step 1: Find the prime factorization of 5568
5568 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29
Step 2: Find the prime factorization of 5574
5574 = 2 x 3 x 929
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 5568 and 5574 is 6