What is the Greatest Common Factor (GCF) of 24 and 40?
4
6
8
12
To find the Greatest Common Factor (GCF) of 24 and 40, list the factors of each numbers: the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, while the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The common factors are 1, 2, 4, and 8, with the greatest common factor being 8. Therefore, the GCF of 24 and 40 is 8.
To find the Greatest Common Factor (GCF) of 24 and 40 using the prime factorization method, follow these steps:
Prime factorization of 24:
24 = 2 × 2 × 2 × 3 = 2³ × 3
Prime factorization of 40:
40 = 2 × 2 × 2 × 5 = 2³ × 5
The common prime factors of 24 and 40 are 2, and both numbers have 2³ in their factorization.
The common prime factor is 2³.
To find the Greatest Common Factor (GCF) of 24 and 40 using the long division method, follow these steps:
40 ÷ 24 = 1 with a remainder of 16.
Now, we have 24 and 16.
24 ÷ 16 = 1 with a remainder of 8.
16 ÷ 8 = 2 with a remainder of 0.
The last non-zero remainder is 8. So, the GCF of 24 and 40 is 8.
To find the Greatest Common Factor (GCF) of 24 and 40 by listing common factors, follow these steps:
Factors of 24:
Factors of 40:
Common factors of 24 and 40:
The largest common factor is 8. Therefore, the GCF of 24 and 40 is 8.
The least common multiple (LCM) of 24 and 40 is 120.
Divide both the numerator and denominator by the GCF.
It simplifies fractions and helps solve problems involving divisibility.
The common factors are 1, 2, 4, and 8.
You can find it using long division, prime factorization, or by listing common factors.
To find the Greatest Common Factor (GCF) of 24 and 40, list the factors of each numbers: the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, while the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The common factors are 1, 2, 4, and 8, with the greatest common factor being 8. Therefore, the GCF of 24 and 40 is 8.
Prime Factorization Method
Long Division Method
Listing Common Factors
To find the Greatest Common Factor (GCF) of 24 and 40 using the prime factorization method, follow these steps:
Prime factorization of 24:
24 = 2 × 2 × 2 × 3 = 2³ × 3
Prime factorization of 40:
40 = 2 × 2 × 2 × 5 = 2³ × 5
The common prime factors of 24 and 40 are 2, and both numbers have 2³ in their factorization.
The common prime factor is 2³.
To find the Greatest Common Factor (GCF) of 24 and 40 using the long division method, follow these steps:
40 ÷ 24 = 1 with a remainder of 16.
Now, we have 24 and 16.
24 ÷ 16 = 1 with a remainder of 8.
16 ÷ 8 = 2 with a remainder of 0.
The last non-zero remainder is 8. So, the GCF of 24 and 40 is 8.
To find the Greatest Common Factor (GCF) of 24 and 40 by listing common factors, follow these steps:
Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
Common factors of 24 and 40:
1, 2, 4, 8
The largest common factor is 8. Therefore, the GCF of 24 and 40 is 8.
The least common multiple (LCM) of 24 and 40 is 120.
Divide both the numerator and denominator by the GCF.
It simplifies fractions and helps solve problems involving divisibility.
The common factors are 1, 2, 4, and 8.
You can find it using long division, prime factorization, or by listing common factors.
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What is the Greatest Common Factor (GCF) of 24 and 40?
4
6
8
12
Which of the following is not a common factor of both 24 and 40?
2
4
5
8
How many factors does the GCF of 24 and 40 have?
2
3
4
6
Which number is the largest factor common to 24 and 40?
4
8
6
10
Which pair of numbers has the same GCF as 24 and 40?
30 and 45
32 and 48
20 and 28
24 and 60
If you subtract the GCF of 24 and 40 from 24, what is the result?
8
12
16
20
The GCF of 24 and 40 is a factor of which of the following numbers?
56
60
72
84
What is the GCF of 24 and 40 divided by 2?
2
4
6
8
The GCF of 24 and 40 is subtracted from 40. What is the result?
24
28
32
36
Which of the following numbers is divisible by the GCF of 24 and 40?
15
30
56
72
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