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 6443, 6448 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6443 and 6448 is 1.
GCF(6443,6448) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6443
17 | 6443 |
379 | 379 |
1 |
Prime factors of 6443 are 17,379. Prime factorization of 6443 in exponential form is:
6443 = 171×3791
Prime Factorization of 6448
2 | 6448 |
2 | 3224 |
2 | 1612 |
2 | 806 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 6448 are 2,13,31. Prime factorization of 6448 in exponential form is:
6448 = 24×131×311
∴ So by taking common prime factors GCF of 6443 and 6448 is 1
Factors of 6443
List of positive integer factors of 6443 that divides 6443 without a remainder.
1,17,379,6443
Factors of 6448
List of positive integer factors of 6448 that divides 6448 without a remainder.
1,2,4,8,13,16,26,31,52,62,104,124,208,248,403,496,806,1612,3224,6448
Greatest Common Factor
We found the factors and prime factorization of 6443 and 6448. The biggest common factor number is the GCF number.
So the greatest common factor 6443 and 6448 is 1.
Also check out the Least Common Multiple of 6443 and 6448
(i) The GCF of 6443 and 6448 is associative
GCF of 6443 and 6448 = GCF of 6448 and 6443
1. What is the GCF of 6443 and 6448?
Answer: GCF of 6443 and 6448 is 1.
2. What are the Factors of 6443?
Answer: Factors of 6443 are 1, 17, 379, 6443. There are 4 integers that are factors of 6443. The greatest factor of 6443 is 6443.
3. What are the Factors of 6448?
Answer: Factors of 6448 are 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448. There are 20 integers that are factors of 6448. The greatest factor of 6448 is 6448.
4. How to Find the GCF of 6443 and 6448?
Answer:
Greatest Common Factor of 6443 and 6448 = 1
Step 1: Find the prime factorization of 6443
6443 = 17 x 379
Step 2: Find the prime factorization of 6448
6448 = 2 x 2 x 2 x 2 x 13 x 31
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 6443 and 6448 is 1