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 6603, 6608 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6603 and 6608 is 1.
GCF(6603,6608) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6603
3 | 6603 |
31 | 2201 |
71 | 71 |
1 |
Prime factors of 6603 are 3,31,71. Prime factorization of 6603 in exponential form is:
6603 = 31×311×711
Prime Factorization of 6608
2 | 6608 |
2 | 3304 |
2 | 1652 |
2 | 826 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 6608 are 2,7,59. Prime factorization of 6608 in exponential form is:
6608 = 24×71×591
∴ So by taking common prime factors GCF of 6603 and 6608 is 1
Factors of 6603
List of positive integer factors of 6603 that divides 6603 without a remainder.
1,3,31,71,93,213,2201,6603
Factors of 6608
List of positive integer factors of 6608 that divides 6608 without a remainder.
1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608
Greatest Common Factor
We found the factors and prime factorization of 6603 and 6608. The biggest common factor number is the GCF number.
So the greatest common factor 6603 and 6608 is 1.
Also check out the Least Common Multiple of 6603 and 6608
(i) The GCF of 6603 and 6608 is associative
GCF of 6603 and 6608 = GCF of 6608 and 6603
1. What is the GCF of 6603 and 6608?
Answer: GCF of 6603 and 6608 is 1.
2. What are the Factors of 6603?
Answer: Factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603. There are 8 integers that are factors of 6603. The greatest factor of 6603 is 6603.
3. What are the Factors of 6608?
Answer: Factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608. There are 20 integers that are factors of 6608. The greatest factor of 6608 is 6608.
4. How to Find the GCF of 6603 and 6608?
Answer:
Greatest Common Factor of 6603 and 6608 = 1
Step 1: Find the prime factorization of 6603
6603 = 3 x 31 x 71
Step 2: Find the prime factorization of 6608
6608 = 2 x 2 x 2 x 2 x 7 x 59
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 6603 and 6608 is 1