Q. Find the HCF of 4xy and 10yz by Prime Factorization Method. And some related examples:
HCF of 4xy and 10yz By Prime Factorization Method
Factors of 4xy and 10yz are as follows:
4xy = 2*2*x*y
10yz = 2*5*y*z
Here the common factor is 2*y
So, the HCF of 4xy and 10yz is 2y.
Highest Common Factors and Greatest Common Factors both are the same terms. Now I will show some similar Greatest Common factors and finding factors problems.
What is the GCF of 36xz and 27xy?
Let’s see the factors:
36xz = 2*2*3*3*x*z
27xy = 3*3*3*x*y
Here, the common factor is 3*3*x.
So, the GCF of 36xz and 27xy is 9x.
Find the common factors of the given terms 12x, 36?
Factors of given terms are:
12x = 2*2*3*x
36 = 2*2*3*3
The common factors of the given terms 12x, 36 is 2*2*3 = 12.
Find the HCF of 2xyz and 10yz?
HCF of 2xyz and 10yz is 2yz.