Quick Answer: What Is The HCF Of Any Two Prime Numbers?

How do you find the HCF of a prime number?

HCF by Prime FactorizationFind the prime factors of each of the given number.Next, we identify the common prime factors of the given numbers.We then multiply the common factors.

The product of these common factors is the HCF of the given numbers..

What is the HCF of 2 and 3?

182 and 3 are the prime number common to all given numbers. Step3: Product of the numbers taken. So 18 is the GCD (Greatest Common Divisor) of the numbers.

What is the HCF of 30?

Factors of 30 (Thirty) = 1, 2, 3, 5, 6, 10, 15 and 30. Factors of 24 (Twenty four) = 1, 2, 3, 4, 6, 8, 12 and 24. Therefore, common factor of 30 (Thirty) and 24 (Twenty four = 1, 2, 3, and 6. Highest common factor (H.C.F) of 30 (Thirty) and 24 (Twenty four = 6.

What is the HCF of 12 and 16?

The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

What is the HCF of two prime numbers?

The HCF of two coprime numbers is always 1 . For example: 5 and 9 are coprime numbers and hence, HCF (5,9)=1 ( 5 , 9 ) = 1 .

What is the HCF of 24 and 36?

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36. Therefore, common factor of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12. Highest common factor (H.C.F) of 24 and 36 = 12.

Are 2 and 3 Coprime numbers?

For example, 2 and 3 are two prime numbers. Factors of 2 are 1, 2, and factors of 3 are 1, 3. The only common factor is 1 and hence is co-prime. Any two successive numbers/ integers are always co-prime: Take any consecutive numbers such as 2, 3, or 3, 4 or 5, 6, and so on; they have 1 as their HCF.

What is the twin prime for 11?

Record Primes of this Type>rankprimedigits11194772106074315 · 2171960 – 15178012100314512544015 · 2171960 – 1517801316869987339975 · 2171960 – 1517791433218925 · 2169690 – 15109016 more rows

Are 2 and 3 twin primes?

Usually the pair (2, 3) is not considered to be a pair of twin primes. … The first few twin prime pairs are: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), … OEIS: A077800.

What is the HCF of two consecutive prime numbers answer?

1Answer: HCF (Any Prime, Any Composit ) is 1 . So they are coprime. So naturally HCF of 2 Primes is 1.

Are 11 and 13 twin primes?

The first fifteen pairs of twin primes are as follows: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), … Also check: Co-Prime Numbers.

What is HCF formula?

Highest Common Factor(HCF) of two or more numbers is the greatest number which divides each of them exactly. … Example : HCF of 60 and 75 = 15 because 15 is the highest number which divides both 60 and 75 exactly. We can find out HCF using prime factorization method or by dividing the numbers or division method.

What is the HCF of 16 and 24?

8Example 21 Consider the highest common factor of 16 and 24 again. The common factors are 1, 2, 4 and 8. So, the highest common factor is 8.

What is the HCF of 56?

56 = 1 × 2 × 2 × 2 × 7. Common factor of 12 and 56 = 1, 2, 2. Highest common factor of 12 and 56 = 2 × 2 = 4.