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What are the prime factor of HCF?

Updated: 4/28/2022
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Each HCF has its own set of prime factors.

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They are prime numbers which divide the HCF evenly.

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Q: What are the prime factor of HCF?
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What is the HCF prime factor of 48 64 and 80?

The only prime factor these numbers share is 2. It is the only prime factor of 64, which is 2 to the 6th power. The hcf is 16, but that is not a prime.


What is the HCF of 21 and 49?

The first step when finding an HCF is to break the numbers down into their prime factors. In this case we get: 21 = 3x7 49 = 7x7 The next step is to identify any common prime factors. In this case both numbers have a 7 as a prime factor. There are no more common prime factors, and thus the HCF of 21 and 49 is 7.


Does the HCF of any two no is always a factor of their LCM?

If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc. b is a factor of abc, and so the HCF will always be a factor of their LCM.


What are the HCF of 15 and 20?

To find the HCF, you first have to express both numbers as the product of their prime factors: 15 = 3x5 20 = 2x2x5 The next step is to identify any common prime factors. In this case both numbers have a 5 as a prime factor. Therefore the HCF of 15 and 20 is 5.


What is the HCF and LCM of 36 and 75?

To find the HCF you first have to write the numbers as their prime factors: 36 = 2x2x3x3 75 = 3x5x5 The next step is to identify any common prime factors. In this case both numbers have 3 as a prime factor. Thus the HCF is 3. To find the LCM you need to multiply the numbers together and divide by the HCF. 36x75/3 = 900 Thus the LCM of 36 and 75 is 900.

Related questions

What is the HCF prime factor of 48 64 and 80?

The only prime factor these numbers share is 2. It is the only prime factor of 64, which is 2 to the 6th power. The hcf is 16, but that is not a prime.


When the numerator and denominator of a fraction are relatively prime?

When they have no factor in common, or their HCF is 1.


What is the HCF of 135 and 165?

Find the HCF of 135 and 165 prime factor method


What is the HCF prime of 90?

It is not possible to give a sensible answer to this question. The highest common factor (HCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question!


What is the HCF of 21 and 49?

The first step when finding an HCF is to break the numbers down into their prime factors. In this case we get: 21 = 3x7 49 = 7x7 The next step is to identify any common prime factors. In this case both numbers have a 7 as a prime factor. There are no more common prime factors, and thus the HCF of 21 and 49 is 7.


Are 39 and 182 relatively prime?

No. hcf(39, 182) = 13. Their highest common factor would be 1 if they were relatively prime.


What is the HCF for 13 and 52?

To find the HCF of these two numbers, you must first split them into their prime factors: 13 = 13 52 = 2x2x13 The next step is to identify any common prime factors. In this case both numbers have 13 as a prime factor. Therefore the HCF of 13 and 52 is 13.


What is HCF of 15 and 39?

To find the HCF of two numbers you first have to express them as a product of their prime factors. In this case: 15 = 3x5 39 = 3x13 The next step is to identify any common prime factors. In this case, both numbers have 3 as a prime factor. Therefore the HCF of 15 and 39 is 3.


What is the HCF of 25 and 60?

To find the HCF of two numbers you first have to break the numbers down into their prime factors. In this case: 25 = 5x5 60 = 2x2x3x5 The next step is to identify any common prime factors. In this case both numbers have a 5 as a prime factor. Thus the HCF of 25 and 60 is 5.


Does the HCF of any two no is always a factor of their LCM?

If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc. b is a factor of abc, and so the HCF will always be a factor of their LCM.


Can the HCF of two numbers be a factor of their LCM?

The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.


What are the HCF of 15 and 20?

To find the HCF, you first have to express both numbers as the product of their prime factors: 15 = 3x5 20 = 2x2x5 The next step is to identify any common prime factors. In this case both numbers have a 5 as a prime factor. Therefore the HCF of 15 and 20 is 5.