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, 5660 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5652 and 5660 is 4.
GCF(5652,5660) = 4
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 5660
2 | 5660 |
2 | 2830 |
5 | 1415 |
283 | 283 |
1 |
Prime factors of 5660 are 2,5,283. Prime factorization of 5660 in exponential form is:
5660 = 22×51×2831
∴ So by taking common prime factors GCF of 5652 and 5660 is 4
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 5660
List of positive integer factors of 5660 that divides 5660 without a remainder.
1,2,4,5,10,20,283,566,1132,1415,2830,5660
Greatest Common Factor
We found the factors and prime factorization of 5652 and 5660. The biggest common factor number is the GCF number.
So the greatest common factor 5652 and 5660 is 4.
Also check out the Least Common Multiple of 5652 and 5660
(i) The GCF of 5652 and 5660 is associative
GCF of 5652 and 5660 = GCF of 5660 and 5652
1. What is the GCF of 5652 and 5660?
Answer: GCF of 5652 and 5660 is 4.
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 5660?
Answer: Factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660. There are 12 integers that are factors of 5660. The greatest factor of 5660 is 5660.
4. How to Find the GCF of 5652 and 5660?
Answer:
Greatest Common Factor of 5652 and 5660 = 4
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 5660
5660 = 2 x 2 x 5 x 283
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 5652 and 5660 is 4