The common factors (divisors) of the numbers 340 and 256 are all the factors of their 'greatest (highest) common factor (divisor)'.
Remember
A factor (divisor) of a natural number A is a natural number B which when multiplied by another natural number C equals the given number A. Both B and C are factors of A and they both evenly divide A ( = without a remainder).
Calculate the greatest (highest) common factor (divisor). Follow the two steps below.
The prime factorization of numbers:
The prime factorization of a number: finding the prime numbers that multiply together to make that number.
340 = 22 × 5 × 17
340 is not a prime number but a composite one.
256 = 28
256 is not a prime number but a composite one.
* The natural numbers that are only divisible by 1 and themselves are called prime numbers. A prime number has exactly two factors: 1 and itself.
* A composite number is a natural number that has at least one other factor than 1 and itself.
Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:
Multiply all the common prime factors, taken by their smallest exponents (powers).
gcf, hcf, gcd (340; 256) = 22 = 4
Find all the factors (divisors) of the greatest (highest) common factor (divisor), gcf, hcf, gcd
4 = 22
Multiply the prime factors involved in the prime factorization of the GCF in all their unique combinations, that give different results.
Also consider the exponents of the prime factors (example: 32 = 3 × 3 = 9).
Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.
All the factors (divisors) are listed below - in ascending order.
The list of factors (divisors):
neither prime nor composite =
1
prime factor =
2
2
2 =
4