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Q: What is the HCF of two prime numbers?
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What numbers have an HCF of 1?

An HCF is the product of any common prime factors of two numbers. If two numbers have no common prime factors, then the HCF will be 1. For example, 10 and 21. The prime factors are 2x5 and 3x7. There is nothing in common, and so the HCF of 10 and 21 is 1. Two consecutive numbers will always have the HCF of 1.


When the hcf of two numbers is 1 it is called what?

The numbers are relatively prime or co-prime.


What is the HCF of 2 prime nos?

The GCF of two prime numbers is 1.


What is the HCF of two co prime numbers?

The answer is always 1.


When the HCF of two numbers is 1 what they are called?

Relatively prime or co-prime.


What are the prime factor of HCF?

Each HCF has its own set of prime factors.


Can two numbers have 20 as HCF and 535 as LCM?

HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.


Is the HCF of two numbers ever 1?

The HCF is the largest number that both numbers can be divided by. If the HCF is 1, that would suggest that the two numbers share no prime factors. Thus, any two numbers which are coprime will have an HCF of 1. Consecutive numbers are good examples here - 15 and 16, 27 and 28, 104 and 105, all have an HCF of 1.


What will be the HCF of two coprime numbers 15 and 37?

The GCF of any two co-prime numbers is 1.


What is the HCF of two co-prime numbers is always?

The GCF is always 1.


How would you explain the LCM of the two numbers is their product?

The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.


What is the HCF of 36 and 40?

To find the HCF of two numbers you first need to write them as the product of their prime factors: 36 = 2x2x3x3 40 = 2x2x2x5 The next step is to identify any common prime factors. In this case, both numbers have two 2s as prime factors. Multiplying these together gives 4. Therefore, the HCF of 36 and 40 is 4. HCF(40, 36) = 4 The HCF (or GCF, greatest common factor) of two numbers can never be greater than the difference between the number