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 5652, 5658 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5652 and 5658 is 6.
GCF(5652,5658) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5652
2 | 5652 |
2 | 2826 |
3 | 1413 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 5652 are 2,3,157. Prime factorization of 5652 in exponential form is:
5652 = 22×32×1571
Prime Factorization of 5658
2 | 5658 |
3 | 2829 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 5658 are 2,3,23,41. Prime factorization of 5658 in exponential form is:
5658 = 21×31×231×411
∴ So by taking common prime factors GCF of 5652 and 5658 is 6
Factors of 5652
List of positive integer factors of 5652 that divides 5652 without a remainder.
1,2,3,4,6,9,12,18,36,157,314,471,628,942,1413,1884,2826,5652
Factors of 5658
List of positive integer factors of 5658 that divides 5658 without a remainder.
1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658
Greatest Common Factor
We found the factors and prime factorization of 5652 and 5658. The biggest common factor number is the GCF number.
So the greatest common factor 5652 and 5658 is 6.
Also check out the Least Common Multiple of 5652 and 5658
(i) The GCF of 5652 and 5658 is associative
GCF of 5652 and 5658 = GCF of 5658 and 5652
1. What is the GCF of 5652 and 5658?
Answer: GCF of 5652 and 5658 is 6.
2. What are the Factors of 5652?
Answer: Factors of 5652 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652. There are 18 integers that are factors of 5652. The greatest factor of 5652 is 5652.
3. What are the Factors of 5658?
Answer: Factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658. There are 16 integers that are factors of 5658. The greatest factor of 5658 is 5658.
4. How to Find the GCF of 5652 and 5658?
Answer:
Greatest Common Factor of 5652 and 5658 = 6
Step 1: Find the prime factorization of 5652
5652 = 2 x 2 x 3 x 3 x 157
Step 2: Find the prime factorization of 5658
5658 = 2 x 3 x 23 x 41
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 5652 and 5658 is 6