Question

H.C.F of 18 and 24 is​

Answer 1

Answer:

Greatest Common Factor of 18 and 24

Greatest common factor (GCF) of 18 and 24 is 6.

GCF(18,24) = 6

We will now calculate the prime factors of 18 and 24, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18 and 24.

Step-by-step explanation:

Prime Factorization of 18

Prime factors of 18 are 2, 3. Prime factorization of 18 in exponential form is:

18 = 21 × 32

Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:

24 = 23 × 31

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9

Factors of 24

List of positive integer factors of 24 that divides 18 without a remainder.

1, 2, 3, 4, 6, 8, 12

Greatest Common Factor

We found the factors and prime factorization of 18 and 24. The biggest common factor number is the GCF number.

So the greatest common factor 18 and 24 is 6.

Answer 2

Answer:

The HCF of the given pair is 6.

Step-by-step explanation:

The HCF, or the highest common factor, or 2 numbers is basically the largest number dividing 2 or more numbers.

To find out the HCF of a pair of numbers, we need to perform prime factorization on them, followed by grouping the factors, and finding the highest factor common to them.

Given - a pair of numbers (18, 24)

To find - the pair’s HCF

Solution - We need to first prime factorize them

$18 = 2 \times 3 \times 3 = 2^1 \times 3^2$

Factors - 1, 2, 3, 6, 9 (out of which, 2 and 3 are prime numbers)

$24 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3^1$

Factors - 1, 2, 3, 4, 6, 8, 12 (out of which, 2 and 3 are prime numbers)

Thus, the common (greatest) factor between the two numbers is 6.

Thus, the HCF of the given pair is 6.

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