
How do you find the GCF of and ?
Answer
471k+ views
Hint: In this question, we find the greatest common factor of two numbers. We find the greatest common factor in the two methods. The first method is, we find the factor of given numbers. Then we choose the common numbers from the factorization of these numbers, the greatest common number is the greatest common factor of given two numbers. And the second method is, we find the prime factor of each number. Then choose the common numbers from prime factorization of given numbers. After that multiply, these numbers and the number which comes after multiplication is the greatest common factor.
Complete step by step solution:
In this question, the word greatest common factor is used. First, we know about the greatest common factor. The greatest common factor is defined as the largest positive integer which is divided by the given number without the reminder.
It is denoted as GCF.
Now we come to the question. To find the greatest common factor of two numbers, there are two methods.
First method:
First, we find the factor of given numbers and as below.
Now,
We find the factor of .
The factors of are as below.
Then,
We find the factor of .
The factors of are as below.
Now,
We find the common form equation .
Thus, the common numbers from the factors of and are as below.
The greatest common number is .
Therefore, the greatest common factor of and is .
Second method:
We write the prime factorization of and .
The prime factors of are.
The prime factors of are.
The common form factors are and .
Then we multiply these two numbers.
Therefore, the greatest common factor of and is .
Note:
If you have two numbers and you want to find the greatest common factor of these two numbers. Then first you find the factor of the given two numbers. After that, you choose the common numbers from the factorization of given numbers. Thus, the greatest number from the common numbers of factorization is the greatest common factor.
Complete step by step solution:
In this question, the word greatest common factor is used. First, we know about the greatest common factor. The greatest common factor is defined as the largest positive integer which is divided by the given number without the reminder.
It is denoted as GCF.
Now we come to the question. To find the greatest common factor of two numbers, there are two methods.
First method:
First, we find the factor of given numbers
Now,
We find the factor of
The factors of
Then,
We find the factor of
The factors of
Now,
We find the common form equation
Thus, the common numbers from the factors of
The greatest common number is
Therefore, the greatest common factor of
Second method:
We write the prime factorization of
The prime factors of
The prime factors of
The common form factors are
Then we multiply these two numbers.
Therefore, the greatest common factor of
Note:
If you have two numbers and you want to find the greatest common factor of these two numbers. Then first you find the factor of the given two numbers. After that, you choose the common numbers from the factorization of given numbers. Thus, the greatest number from the common numbers of factorization is the greatest common factor.
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