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 6465, 6470 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6465 and 6470 is 5.
GCF(6465,6470) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6470
2 | 6470 |
5 | 3235 |
647 | 647 |
1 |
Prime factors of 6470 are 2,5,647. Prime factorization of 6470 in exponential form is:
6470 = 21×51×6471
∴ So by taking common prime factors GCF of 6465 and 6470 is 5
Factors of 6465
List of positive integer factors of 6465 that divides 6465 without a remainder.
1,3,5,15,431,1293,2155,6465
Factors of 6470
List of positive integer factors of 6470 that divides 6470 without a remainder.
1,2,5,10,647,1294,3235,6470
Greatest Common Factor
We found the factors and prime factorization of 6465 and 6470. The biggest common factor number is the GCF number.
So the greatest common factor 6465 and 6470 is 5.
Also check out the Least Common Multiple of 6465 and 6470
(i) The GCF of 6465 and 6470 is associative
GCF of 6465 and 6470 = GCF of 6470 and 6465
1. What is the GCF of 6465 and 6470?
Answer: GCF of 6465 and 6470 is 5.
2. 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.
3. What are the Factors of 6470?
Answer: Factors of 6470 are 1, 2, 5, 10, 647, 1294, 3235, 6470. There are 8 integers that are factors of 6470. The greatest factor of 6470 is 6470.
4. How to Find the GCF of 6465 and 6470?
Answer:
Greatest Common Factor of 6465 and 6470 = 5
Step 1: Find the prime factorization of 6465
6465 = 3 x 5 x 431
Step 2: Find the prime factorization of 6470
6470 = 2 x 5 x 647
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 6465 and 6470 is 5