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 6640, 6643 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6640 and 6643 is 1.
GCF(6640,6643) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6640
2 | 6640 |
2 | 3320 |
2 | 1660 |
2 | 830 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 6640 are 2,5,83. Prime factorization of 6640 in exponential form is:
6640 = 24×51×831
Prime Factorization of 6643
7 | 6643 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 6643 are 7,13,73. Prime factorization of 6643 in exponential form is:
6643 = 71×131×731
∴ So by taking common prime factors GCF of 6640 and 6643 is 1
Factors of 6640
List of positive integer factors of 6640 that divides 6640 without a remainder.
1,2,4,5,8,10,16,20,40,80,83,166,332,415,664,830,1328,1660,3320,6640
Factors of 6643
List of positive integer factors of 6643 that divides 6643 without a remainder.
1,7,13,73,91,511,949,6643
Greatest Common Factor
We found the factors and prime factorization of 6640 and 6643. The biggest common factor number is the GCF number.
So the greatest common factor 6640 and 6643 is 1.
Also check out the Least Common Multiple of 6640 and 6643
(i) The GCF of 6640 and 6643 is associative
GCF of 6640 and 6643 = GCF of 6643 and 6640
1. What is the GCF of 6640 and 6643?
Answer: GCF of 6640 and 6643 is 1.
2. What are the Factors of 6640?
Answer: Factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640. There are 20 integers that are factors of 6640. The greatest factor of 6640 is 6640.
3. What are the Factors of 6643?
Answer: Factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643. There are 8 integers that are factors of 6643. The greatest factor of 6643 is 6643.
4. How to Find the GCF of 6640 and 6643?
Answer:
Greatest Common Factor of 6640 and 6643 = 1
Step 1: Find the prime factorization of 6640
6640 = 2 x 2 x 2 x 2 x 5 x 83
Step 2: Find the prime factorization of 6643
6643 = 7 x 13 x 73
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 6640 and 6643 is 1