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 6430, 6434 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6430 and 6434 is 2.
GCF(6430,6434) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6430
2 | 6430 |
5 | 3215 |
643 | 643 |
1 |
Prime factors of 6430 are 2,5,643. Prime factorization of 6430 in exponential form is:
6430 = 21×51×6431
Prime Factorization of 6434
2 | 6434 |
3217 | 3217 |
1 |
Prime factors of 6434 are 2,3217. Prime factorization of 6434 in exponential form is:
6434 = 21×32171
∴ So by taking common prime factors GCF of 6430 and 6434 is 2
Factors of 6430
List of positive integer factors of 6430 that divides 6430 without a remainder.
1,2,5,10,643,1286,3215,6430
Factors of 6434
List of positive integer factors of 6434 that divides 6434 without a remainder.
1,2,3217,6434
Greatest Common Factor
We found the factors and prime factorization of 6430 and 6434. The biggest common factor number is the GCF number.
So the greatest common factor 6430 and 6434 is 2.
Also check out the Least Common Multiple of 6430 and 6434
(i) The GCF of 6430 and 6434 is associative
GCF of 6430 and 6434 = GCF of 6434 and 6430
1. What is the GCF of 6430 and 6434?
Answer: GCF of 6430 and 6434 is 2.
2. What are the Factors of 6430?
Answer: Factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430. There are 8 integers that are factors of 6430. The greatest factor of 6430 is 6430.
3. What are the Factors of 6434?
Answer: Factors of 6434 are 1, 2, 3217, 6434. There are 4 integers that are factors of 6434. The greatest factor of 6434 is 6434.
4. How to Find the GCF of 6430 and 6434?
Answer:
Greatest Common Factor of 6430 and 6434 = 2
Step 1: Find the prime factorization of 6430
6430 = 2 x 5 x 643
Step 2: Find the prime factorization of 6434
6434 = 2 x 3217
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6430 and 6434 is 2