H.C.F of 18 and 24 is
Answers
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:
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
Factors - 1, 2, 3, 6, 9 (out of which, 2 and 3 are prime numbers)
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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