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Since we are talking about highest common prime factor method of prime factorization will be very helpful in this case.

So, we shall first start with the definition of prime factorization.

Prime factorization: It is a method to express a number as the product of prime numbers.

Prime factorization of 28 = 2x2x7

Prime factorization of 32 = 2x2x2x2x2

It is clear from the factorizations that 2 is the highest common prime factor.

Alternate Method:

We can easily write all the factors of 28 and 32, so:

Factors of 28 are 1, 2, 4, 7, 14 and 28.

Factors of 32 are 1, 2, 4, 8, 16 and 32.

Common factors are 1, 2 and 4, but 2 is the only number which is prime.

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Q: What is the highest common prime factor of 28 and 32?
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