What is the HCF of 24 and 36?
6
8
12
16
The Highest Common Factor (HCF) of 24 and 36 is 12. The HCF, also known as the Greatest Common Factor (GCF), is the largest number that can divide both 24 and 36 without leaving a remainder. The common factors of 24 and 36 are 1, 2, 3, 4, 6, and 12, with 12 being the highest. There are three common methods to find the HCF: prime factorization, Euclidean algorithm, and long division. In this case, the HCF of 24 and 36 is determined to be 12, as it is the largest number that can perfectly divide both numbers.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, while the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Highest Common Factor (HCF) of two non-zero integers, 24 and 36, is the largest positive integer, 12, that can divide both 24 and 36 without leaving a remainder.
The prime factorization of 24 is 2×2×2×3 and for 36, it is 2×2×3×3. Both 24 and 36 share common prime factors. Therefore, the Highest Common Factor (HCF) of 24 and 36 is 2×2×3=12.
There are six common factors of 24 and 36: 1, 2, 3, 4, 6, and 12. Therefore, the Highest Common Factor (HCF) of 24 and 36 is 12.
The HCF of 24 and 36 can be found using prime factorization, the Euclidean algorithm, or the long division method.
The common factors of 24 and 36 are 1, 2, 3, 4, 6, and 12.
The HCF helps simplify fractions and solve problems involving ratios and common divisors.
No, the HCF is the greatest common factor. For 24 and 36, it is 12.
The smallest common factor of 24 and 36 is 1.
The Highest Common Factor (HCF) of 24 and 36 is 12. The HCF, also known as the Greatest Common Factor (GCF), is the largest number that can divide both 24 and 36 without leaving a remainder. The common factors of 24 and 36 are 1, 2, 3, 4, 6, and 12, with 12 being the highest. There are three common methods to find the HCF: prime factorization, Euclidean algorithm, and long division. In this case, the HCF of 24 and 36 is determined to be 12, as it is the largest number that can perfectly divide both numbers.
HCF of 24 and 36 is 12
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, while the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Highest Common Factor (HCF) of two non-zero integers, 24 and 36, is the largest positive integer, 12, that can divide both 24 and 36 without leaving a remainder.
Prime Factorization Method
Long Division Method
Listing Common Factors
The prime factorization of 24 is 2×2×2×3 and for 36, it is 2×2×3×3. Both 24 and 36 share common prime factors. Therefore, the Highest Common Factor (HCF) of 24 and 36 is 2×2×3=12.
Divide the larger number by the smaller number:
Divide 36 by 24.The quotient is 1 and the remainder is 12.
36÷24=1 remainder 12
Replace the larger number with the smaller number, and the smaller number with the remainder:
Now, divide 24 (the previous divisor) by 12 (the remainder from step 1).The quotient is 2 and the remainder is 0.
24÷12=2 remainder 0
Continue the process until the remainder is 0:
When the remainder becomes 0, the divisor at this stage (12) is the HCF.
Since the remainder is now 0, the HCF of 24 and 36 is 12.
There are six common factors of 24 and 36: 1, 2, 3, 4, 6, and 12. Therefore, the Highest Common Factor (HCF) of 24 and 36 is 12.
The HCF of 24 and 36 can be found using prime factorization, the Euclidean algorithm, or the long division method.
The common factors of 24 and 36 are 1, 2, 3, 4, 6, and 12.
The HCF helps simplify fractions and solve problems involving ratios and common divisors.
No, the HCF is the greatest common factor. For 24 and 36, it is 12.
The smallest common factor of 24 and 36 is 1.
Text prompt
Add Tone
10 Examples of Public speaking
20 Examples of Gas lighting
What is the HCF of 24 and 36?
6
8
12
16
Which of the following numbers is a factor of both 24 and 36?
4
5
7
9
What is the HCF of 24 and 36 if we use the prime factorization method?
8
12
18
24
If you divide 24 and 36 by their HCF, what are the resulting numbers?
2 and 3
3 and 4
4 and 6
6 and 9
What is the HCF of 24 and 36 if we use the Euclidean algorithm?
6
8
12
18
Which number below is not a common factor of 24 and 36?
6
8
9
12
Which of the following is not a multiple of the HCF of 24 and 36?
12
24
30
36
What is the greatest common divisor (GCD) of 24 and 36?
6
8
12
16
What is the ratio of 24 to 36, reduced to its simplest form using the HCF?
2:3
3:4
4:5
5:6
What is the smallest number that is a multiple of both 24 and 36?
36
48
72
84
Before you leave, take our quick quiz to enhance your learning!