8,936 and 15,638: Calculate all the common factors (divisors) of the two numbers (and the prime factors)

The common factors (divisors) of the numbers 8,936 and 15,638

The common factors (divisors) of the numbers 8,936 and 15,638 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.


8,936 = 23 × 1,117
8,936 is not a prime number but a composite one.


15,638 = 2 × 7 × 1,117
15,638 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 (8,936; 15,638) = 2 × 1,117 = 2,234




Find all the factors (divisors) of the greatest (highest) common factor (divisor), gcf, hcf, gcd

2,234 = 2 × 1,117


Multiply the prime factors involved in the prime factorization of the GCF in all their unique combinations, that give different results.


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
prime factor = 1,117
2 × 1,117 = 2,234

The final answer:
(scroll down)

8,936 and 15,638 have 4 common factors (divisors):
1; 2; 1,117 and 2,234
out of which 2 prime factors: 2 and 1,117

A quick way to find the factors (the divisors) of a number is to first have its prime factorization.


Then multiply the prime factors in all the possible combinations that lead to different results and also take into account their exponents, if any.


The latest 5 sets of calculated factors (divisors): of one number or the common factors of two numbers

The common factors (divisors) of 440,079 and 0 = ? Nov 28 12:26 UTC (GMT)
The common factors (divisors) of 8,936 and 15,638 = ? Nov 28 12:26 UTC (GMT)
The factors (divisors) of 147,775,953 = ? Nov 28 12:26 UTC (GMT)
The common factors (divisors) of 518,526 and 0 = ? Nov 28 12:26 UTC (GMT)
The common factors (divisors) of 1,813,155,840 and 0 = ? Nov 28 12:26 UTC (GMT)
The list of all the calculated factors (divisors) of one or two numbers

Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

Some articles on the prime numbers

What is a prime number? Definition, examples

What is a composite number? Definition, examples

The prime numbers up to 1,000

The prime numbers up to 10,000

The Sieve of Eratosthenes

The Euclidean Algorithm

Completely reduce (simplify) fractions to the lowest terms: Steps and Examples