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 6448, 6455 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6448 and 6455 is 1.
GCF(6448,6455) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6455
5 | 6455 |
1291 | 1291 |
1 |
Prime factors of 6455 are 5,1291. Prime factorization of 6455 in exponential form is:
6455 = 51×12911
∴ So by taking common prime factors GCF of 6448 and 6455 is 1
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
Factors of 6455
List of positive integer factors of 6455 that divides 6455 without a remainder.
1,5,1291,6455
Greatest Common Factor
We found the factors and prime factorization of 6448 and 6455. The biggest common factor number is the GCF number.
So the greatest common factor 6448 and 6455 is 1.
Also check out the Least Common Multiple of 6448 and 6455
(i) The GCF of 6448 and 6455 is associative
GCF of 6448 and 6455 = GCF of 6455 and 6448
1. What is the GCF of 6448 and 6455?
Answer: GCF of 6448 and 6455 is 1.
2. 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.
3. What are the Factors of 6455?
Answer: Factors of 6455 are 1, 5, 1291, 6455. There are 4 integers that are factors of 6455. The greatest factor of 6455 is 6455.
4. How to Find the GCF of 6448 and 6455?
Answer:
Greatest Common Factor of 6448 and 6455 = 1
Step 1: Find the prime factorization of 6448
6448 = 2 x 2 x 2 x 2 x 13 x 31
Step 2: Find the prime factorization of 6455
6455 = 5 x 1291
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 6448 and 6455 is 1