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 2647, 2652 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2647 and 2652 is 1.
GCF(2647,2652) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2647
2647 | 2647 |
1 |
Prime factors of 2647 are 2647. Prime factorization of 2647 in exponential form is:
2647 = 26471
Prime Factorization of 2652
2 | 2652 |
2 | 1326 |
3 | 663 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 2652 are 2.Prime factorization of 2652 in exponential form is:
2652 = 22×31×131×171
∴ So by taking common prime factors GCF of 2647 and 2652 is 1
Factors of 2647
List of positive integer factors of 2647 that divides 2647 without a remainder.
1,2647
Factors of 2652
List of positive integer factors of 2652 that divides 2652 without a remainder.
1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Greatest Common Factor
We found the factors and prime factorization of 2647 and 2652. The biggest common factor number is the GCF number.
So the greatest common factor 2647 and 2652 is 1.
Also check out the Least Common Multiple of 2647 and 2652
(i) The GCF of 2647 and 2652 is associative
GCF of 2647 and 2652 = GCF of 2652 and 2647
1. What is the GCF of 2647 and 2652?
Answer: GCF of 2647 and 2652 is 1.
2. What are the Factors of 2647?
Answer: Factors of 2647 are 1, 2647. There are 2 integers that are factors of 2647. The greatest factor of 2647 is 2647.
3. What are the Factors of 2652?
Answer: Factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652. There are 24 integers that are factors of 2652. The greatest factor of 2652 is 2652.
4. How to Find the GCF of 2647 and 2652?
Answer:
Greatest Common Factor of 2647 and 2652 = 1
Step 1: Find the prime factorization of 2647
2647 = 2647
Step 2: Find the prime factorization of 2652
2652 = 2 x 2 x 3 x 13 x 17
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 2647 and 2652 is 1