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.
The least common prime factor of 24 and 28 is 2.
The highest common factor is 7.
To find the highest common factor (HCF) of 504 and 700, we first need to factorize both numbers. The prime factors of 504 are 2^3 x 3^2 x 7, and the prime factors of 700 are 2^2 x 5^2 x 7. To find the HCF, we take the common prime factors with the lowest exponent, which are 2^2 x 7 = 28. Therefore, the highest common factor of 504 and 700 is 28.
The highest common factor of the numbers 28, 84 and 91 is 7.
To find the highest common factor of two numbers, you must first split them into their prime factors. In this case, the numbers 28 and 32 can split as follows: 28 = 2x2x7 32 = 2x2x2x2x2 The next step is to identify all common prime factors. In this case, the common prime factors are two 2s. To find the HCF, you just multiply these together: 2x2=4 Thus the highest common factor of 28 and 32 is 4.
The highest common factor (HCF) is 7.
The highest common factor is 4.
4 is the highest common factor of 28 and 32
In 28, 7. In 16, 2
The GCF of 28 and 32 is 4.The factors of 32 are 1, 2, 4, 8, 16, and 32.The factors of 28 are 1, 2, 4, 7, 14, and 28.The largest factor they have in common is 4, so it is the greatest common factor of 32 and 28.Alternately, you can examine their prime factors.The prime factors of 32 are 2, 2, 2, 2, and 2.The prime factors of 28 are 2, 2, and 7.The prime factors they have in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.It is 4
The GCF is 28.
The Greatest Common Factor (GCF) is: 28