What is the HCF of any two prime numbers?

What is the HCF of any two prime numbers?

1
It means any two prime numbers will have only one common factor and that would be ‘1’, as per the definitions of prime number and highest common factor. Hence, any two different prime numbers will have the highest common factor as ‘1’. It means the H.C.F. of given two prime numbers a and b is 1.

What is the HCF of to prime number?

R D Sharma – Mathematics 9 All the number (including the prime numbers) have 1 as the factor. So the highest common factor of all the prime numbers is 1. And hence the HCF of all prime numbers is 1.

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What is the HCF of 2 and even number?

HCF of 2 and even number will be 2 itself. It is because the highest common factor of the even number taken would be 2. 2 is also the highest factor of 2 only. 2 is the common factor between these 2 numbers.

What is the HCF of any two?

Answer: The HCF of any two consecutive even numbers is always 2. The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

What is the HCF of two consecutive prime numbers answer?

The HCF of two consecutive numbers is always one. The reason behind this is that the two consecutive numbers do not have any common factor other than 1. Hence 1 becomes the HCF between two consecutive numbers.

What is the exponent of 2 in prime factorization of 144?

4
Therefore, the exponent of 2 in the prime factorization of 144 is 4.

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What is the HCF of 2 prime numbers with 1 common factor?

Answer: HCF of 2 prime numbers will always be 1. Prime Numbers do not have any common factor apart from the universal factor this is 1. Numbers that have only 1 as their common factor are also known as co-prime numbers .

How do you find the HCF of two numbers?

To find the HCF of two numbers, first, we have to find the prime factors of each of the two numbers and write them as a product of these. After writing both numbers as a product of their prime factors, we have to identify the common prime factors among them. Multiplying them with the lowest degree can give HCF of the two numbers.

What is the difference between HCF and HCF?

HCF of two numbers divides each of the numbers without leaving any remainder. HCF of two numbers is a factor of each of the numbers. HCF of two numbers is always less than or equal to each of the numbers. HCF of two prime numbers is 1 always.

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What is the commonhcf of two consecutive numbers?

HCF of two consecutive numbers is always 1 . explanation : Take two consecutive numbers as 9 and 10. between these two numbers there is no common factor other than 1. Take two consecutive numbers as 17 and 18. These two numbers do not have any factor common in them other than 1.