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 6647, 6652 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6647 and 6652 is 1.
GCF(6647,6652) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6647
17 | 6647 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 6647 are 17,23. Prime factorization of 6647 in exponential form is:
6647 = 172×231
Prime Factorization of 6652
2 | 6652 |
2 | 3326 |
1663 | 1663 |
1 |
Prime factors of 6652 are 2,1663. Prime factorization of 6652 in exponential form is:
6652 = 22×16631
∴ So by taking common prime factors GCF of 6647 and 6652 is 1
Factors of 6647
List of positive integer factors of 6647 that divides 6647 without a remainder.
1,17,23,289,391,6647
Factors of 6652
List of positive integer factors of 6652 that divides 6652 without a remainder.
1,2,4,1663,3326,6652
Greatest Common Factor
We found the factors and prime factorization of 6647 and 6652. The biggest common factor number is the GCF number.
So the greatest common factor 6647 and 6652 is 1.
Also check out the Least Common Multiple of 6647 and 6652
(i) The GCF of 6647 and 6652 is associative
GCF of 6647 and 6652 = GCF of 6652 and 6647
1. What is the GCF of 6647 and 6652?
Answer: GCF of 6647 and 6652 is 1.
2. What are the Factors of 6647?
Answer: Factors of 6647 are 1, 17, 23, 289, 391, 6647. There are 6 integers that are factors of 6647. The greatest factor of 6647 is 6647.
3. What are the Factors of 6652?
Answer: Factors of 6652 are 1, 2, 4, 1663, 3326, 6652. There are 6 integers that are factors of 6652. The greatest factor of 6652 is 6652.
4. How to Find the GCF of 6647 and 6652?
Answer:
Greatest Common Factor of 6647 and 6652 = 1
Step 1: Find the prime factorization of 6647
6647 = 17 x 17 x 23
Step 2: Find the prime factorization of 6652
6652 = 2 x 2 x 1663
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 6647 and 6652 is 1