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 5647, 5652 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5647 and 5652 is 1.
GCF(5647,5652) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5647
5647 | 5647 |
1 |
Prime factors of 5647 are 5647. Prime factorization of 5647 in exponential form is:
5647 = 56471
Prime Factorization of 5652
2 | 5652 |
2 | 2826 |
3 | 1413 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 5652 are 2.Prime factorization of 5652 in exponential form is:
5652 = 22×32×1571
∴ So by taking common prime factors GCF of 5647 and 5652 is 1
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1,5647
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
Greatest Common Factor
We found the factors and prime factorization of 5647 and 5652. The biggest common factor number is the GCF number.
So the greatest common factor 5647 and 5652 is 1.
Also check out the Least Common Multiple of 5647 and 5652
(i) The GCF of 5647 and 5652 is associative
GCF of 5647 and 5652 = GCF of 5652 and 5647
1. What is the GCF of 5647 and 5652?
Answer: GCF of 5647 and 5652 is 1.
2. What are the Factors of 5647?
Answer: Factors of 5647 are 1, 5647. There are 2 integers that are factors of 5647. The greatest factor of 5647 is 5647.
3. 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.
4. How to Find the GCF of 5647 and 5652?
Answer:
Greatest Common Factor of 5647 and 5652 = 1
Step 1: Find the prime factorization of 5647
5647 = 5647
Step 2: Find the prime factorization of 5652
5652 = 2 x 2 x 3 x 3 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 5647 and 5652 is 1