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 6608, 6613 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6608 and 6613 is 1.
GCF(6608,6613) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6613
17 | 6613 |
389 | 389 |
1 |
Prime factors of 6613 are 17,389. Prime factorization of 6613 in exponential form is:
6613 = 171×3891
∴ So by taking common prime factors GCF of 6608 and 6613 is 1
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
Factors of 6613
List of positive integer factors of 6613 that divides 6613 without a remainder.
1,17,389,6613
Greatest Common Factor
We found the factors and prime factorization of 6608 and 6613. The biggest common factor number is the GCF number.
So the greatest common factor 6608 and 6613 is 1.
Also check out the Least Common Multiple of 6608 and 6613
(i) The GCF of 6608 and 6613 is associative
GCF of 6608 and 6613 = GCF of 6613 and 6608
1. What is the GCF of 6608 and 6613?
Answer: GCF of 6608 and 6613 is 1.
2. 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.
3. What are the Factors of 6613?
Answer: Factors of 6613 are 1, 17, 389, 6613. There are 4 integers that are factors of 6613. The greatest factor of 6613 is 6613.
4. How to Find the GCF of 6608 and 6613?
Answer:
Greatest Common Factor of 6608 and 6613 = 1
Step 1: Find the prime factorization of 6608
6608 = 2 x 2 x 2 x 2 x 7 x 59
Step 2: Find the prime factorization of 6613
6613 = 17 x 389
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 6608 and 6613 is 1