Each HCF has its own set of prime factors.
They are prime numbers which divide the HCF evenly.
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.
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.
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.
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.
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.
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 they have no factor in common, or their HCF is 1.
Find the HCF of 135 and 165 prime factor method
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!
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.
No. hcf(39, 182) = 13. Their highest common factor would be 1 if they were relatively prime.
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.
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.
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.
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.
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.
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.