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 6463, 6465 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6463 and 6465 is 1.
GCF(6463,6465) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6463
23 | 6463 |
281 | 281 |
1 |
Prime factors of 6463 are 23,281. Prime factorization of 6463 in exponential form is:
6463 = 231×2811
Prime Factorization of 6465
3 | 6465 |
5 | 2155 |
431 | 431 |
1 |
Prime factors of 6465 are 3,5,431. Prime factorization of 6465 in exponential form is:
6465 = 31×51×4311
∴ So by taking common prime factors GCF of 6463 and 6465 is 1
Factors of 6463
List of positive integer factors of 6463 that divides 6463 without a remainder.
1,23,281,6463
Factors of 6465
List of positive integer factors of 6465 that divides 6465 without a remainder.
1,3,5,15,431,1293,2155,6465
Greatest Common Factor
We found the factors and prime factorization of 6463 and 6465. The biggest common factor number is the GCF number.
So the greatest common factor 6463 and 6465 is 1.
Also check out the Least Common Multiple of 6463 and 6465
(i) The GCF of 6463 and 6465 is associative
GCF of 6463 and 6465 = GCF of 6465 and 6463
1. What is the GCF of 6463 and 6465?
Answer: GCF of 6463 and 6465 is 1.
2. What are the Factors of 6463?
Answer: Factors of 6463 are 1, 23, 281, 6463. There are 4 integers that are factors of 6463. The greatest factor of 6463 is 6463.
3. What are the Factors of 6465?
Answer: Factors of 6465 are 1, 3, 5, 15, 431, 1293, 2155, 6465. There are 8 integers that are factors of 6465. The greatest factor of 6465 is 6465.
4. How to Find the GCF of 6463 and 6465?
Answer:
Greatest Common Factor of 6463 and 6465 = 1
Step 1: Find the prime factorization of 6463
6463 = 23 x 281
Step 2: Find the prime factorization of 6465
6465 = 3 x 5 x 431
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 6463 and 6465 is 1