To find the Highest Common Factor (HCF) of two numbers using the prime factorization method, first find the prime factors of each number, then identify the common prime factors, and multiply them together to get the HCF. For example, to find the HCF of 12 and 16: 12 = 2 × 2 × 3 and 16 = 2 × 2 × 2 × 2, so the common factors are 2 and 2, and their product (2 × 2 = 4) is the HCF.
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# Finding hcf esay tricksAdded:
How to find HCF of 12 and 16 by using prime factorization method? So, in first step, I'll just find the factor of 12 by using prime number. 2 * 6 = 12.
2 * 3 = 6.
And 3 * 1 = 3.
So, write the factor of 12 here.
12 equal to this are the factor. So, 2 into 2 into 3.
Now, I'll find the factor of 16.
2 * 8 = 16.
2 * 4 = 8.
2 * 2 = 4.
And 2 * 1 = 2.
So, write the factor of 16 here.
Oh, so write here 2 into 2 into 2 into 2.
Now, I'll find the HCF of 12 and 16.
Now, you see the common factor.
So, 2 is common here.
So, write here 2 into Again, one more 2 you have common. So, this also you write here.
Now, you do multiply. 2 and 2 multiply is 4. 2 * 2 = 4. So, this is the HCF of 12 and 16.
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