The GCF of 24 and 28 is one-third of which of the following numbers?
28
48
84
96
The greatest common factor (GCF) of 24 and 28 is 4. To find the GCF, we first identify the factors of each number. For 24, its factors are 1, 2, 3, 4, 6, 8, 12, and 24. For 28, its factors are 1, 2, 4, 7, 14, and 28. The highest common factor among these two sets of factors is 4, which means it’s the largest numbers that divides both 24 and 28 without leaving a remainder. So, 4 is the GCF of 24 and 28.
Step 1: Find the prime factors of each number.
Prime factors of 24: 2 x 2 x 2 x 3
Prime factors of 28: 2 x 2 x 7
Step 2: Identify the common prime factors.
Step 3: Multiply the common prime factors.
GCF = 2 x 2 = 4
So, the greatest common factor of 24 and 28 is 4.
To find the Greatest Common Factor (GCF) of 24 and 28 using the Long Division Method, follow these simple steps:
Divide the Larger Number by the Smaller Number:
Divide 28 (larger number) by 24 (smaller number).
28 ÷ 24 = 1 remainder 4
Replace the Larger Number with the Smaller Number:
The divisors (24) becomes the new dividend.
The remainder (4) becomes the new divisor.
Repeat the Division:
Now, divide 24 by 4.
24 ÷ 4 = 6 remainder 0
Check the Remainder:
When the remainder is 0, the current divisor is the GCF.
The remainder is 0, and the current divisor is 4.
List the Factors of Each Number:
Identify the Common Factors:
Find the Greatest Common Factor:
The largest number in the list of common factors is 4.
The Greatest Common Factor (GCF) of a single number, like 28, is the number itself. Thus, the GCF of 28 is 28, as it is the largest factor.
To find the GCF of 24 and 28 using a calculator, input both numbers into the GCF function. The calculator will output 4, as 4 is the greatest common factor.
A worksheet on finding the GCF of 24 and 28 includes exercises on listing factors, using the long division method, and finding common factors to determine that the GCF is 4.
Yes, the Euclidean algorithm involves repeated division. Divide 28 by 24, get the remainder 4, then divide 24 by 4 to get a remainder of 0. The GCF is 4.
The product of the GCF and LCM of two numbers equals the product of the numbers. For 24 and 28: GCF × LCM = 24 × 28.
Yes, by observing that both numbers share common factors 1, 2, and 4, you can determine that the largest common factor is 4.
Text prompt
Add Tone
10 Examples of Public speaking
20 Examples of Gas lighting
The GCF of 24 and 28 is one-third of which of the following numbers?
28
48
84
96
The GCF of 24 and 28 is one-third of which of the following numbers?
28
84
92
99
Which of the following statements is true about the GCF of 24 and 28?
It is a factor of 24 only.
It is a prime number.
It is a factor of 28.
It is greater than 10.
What is the difference between the LCM and GCF of 24 and 28?
22
24
28
36
The GCF of 24 and 28 is also the GCF of which of the following pairs?
12 and 24
18 and 30
28 and 32
40 and 60
The GCF of 24 and 28 is multiplied by the largest factor of 24. What is the result?
12
48
56
72
What is the GCF of 24 and 28 if 24 is divided by its smallest prime factor?
4
6
8
12
Which of the following is the correct prime factorization of the GCF of 24 and 28?
2 × 2
2 × 2 × 2
2 × 2 × 2 × 2
2 × 2 × 2 × 2 × 2
What is the GCF of 8 times 24 and 7 times 28?
4
8
16
32
The sum of the GCF of 24 and 28 and the smallest prime number is:
5
6
7
8
Before you leave, take our quick quiz to enhance your learning!