What is the Greatest Common Factor (GCF) of 9 and 15?
3
5
9
15
To find the Greatest Common Factor (GCF) of 9 and 15, you can use several methods such as listing common factors, prime factorization, and the long division method. By listing the factors, we see that the numbers factors of 9 are 1, 3, and 9, while the factors of 15 are 1, 3, 5, and 15. The common factors are 1 and 3, with the greatest common factor being 3. Using the prime factorization method, 9 is 3² and 15 is 3 × 5, with the common prime factor being 3. Using the long division method, dividing 15 by 9 gives a remainder of 6, then dividing 9 by 6 gives a remainder of 3, and finally dividing 6 by 3 gives a remainder of 0, confirming that the GCF is 3. Thus, the GCF of 9 and 15 is 3.
To find the Greatest Common Factor (GCF) of 9 and 15 using the prime factorization method, follow these steps:
Prime factorization of 9:
9 = 3 × 3 = 3²
Prime factorization of 15:
15 = 3 × 5
The only common prime factor of 9 and 15 is 3.
Since the only common prime factor is 3, the GCF is 3.
To find the Greatest Common Factor (GCF) of 9 and 15 using the long division method, follow these steps:
15 ÷ 9 = 1 with a remainder of 6.
Now, we have 9 and 6.
9 ÷ 6 = 1 with a remainder of 3.
6 ÷ 3 = 2 with a remainder of 0.
The last non-zero remainder is 3. So, the GCF of 9 and 15 is 3.
To find the Greatest Common Factor (GCF) of 9 and 15 by listing common factors, follow these steps:
Factors of 9:
1, 3, 9
Factors of 15:
1, 3, 5, 15
Common factors of 9 and 15:
1, 3
The largest common factor is 3. Therefore, the GCF of 9 and 15 is 3.
Use methods like long division, listing common factors, and prime factorization.
The factors of 9 are 1, 3, and 9.
The GCF can be used to divide both the numerator and the denominator to simplify a fraction.
Yes, 3 is a prime number.
Yes, if one number is a multiple of the other. For 9 and 15, the GCF is 3.
The LCM of 9 and 15 is 45.
No, because their GCF is 3, not 1.
To find the Greatest Common Factor (GCF) of 9 and 15, you can use several methods such as listing common factors, prime factorization, and the long division method. By listing the factors, we see that the numbers factors of 9 are 1, 3, and 9, while the factors of 15 are 1, 3, 5, and 15. The common factors are 1 and 3, with the greatest common factor being 3. Using the prime factorization method, 9 is 3² and 15 is 3 × 5, with the common prime factor being 3. Using the long division method, dividing 15 by 9 gives a remainder of 6, then dividing 9 by 6 gives a remainder of 3, and finally dividing 6 by 3 gives a remainder of 0, confirming that the GCF is 3. Thus, the GCF of 9 and 15 is 3.
Prime Factorization Method
Long Division Method
Listing Common Factors
To find the Greatest Common Factor (GCF) of 9 and 15 using the prime factorization method, follow these steps:
Prime factorization of 9:
9 = 3 × 3 = 3²
Prime factorization of 15:
15 = 3 × 5
The only common prime factor of 9 and 15 is 3.
Since the only common prime factor is 3, the GCF is 3.
To find the Greatest Common Factor (GCF) of 9 and 15 using the long division method, follow these steps:
15 ÷ 9 = 1 with a remainder of 6.
Now, we have 9 and 6.
9 ÷ 6 = 1 with a remainder of 3.
6 ÷ 3 = 2 with a remainder of 0.
The last non-zero remainder is 3. So, the GCF of 9 and 15 is 3.
To find the Greatest Common Factor (GCF) of 9 and 15 by listing common factors, follow these steps:
Factors of 9:
1, 3, 9
Factors of 15:
1, 3, 5, 15
Common factors of 9 and 15:
1, 3
The largest common factor is 3. Therefore, the GCF of 9 and 15 is 3.
Use methods like long division, listing common factors, and prime factorization.
The factors of 9 are 1, 3, and 9.
The GCF can be used to divide both the numerator and the denominator to simplify a fraction.
Yes, 3 is a prime number.
Yes, if one number is a multiple of the other. For 9 and 15, the GCF is 3.
The LCM of 9 and 15 is 45.
No, because their GCF is 3, not 1.
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What is the Greatest Common Factor (GCF) of 9 and 15?
3
5
9
15
Which number is a common factor of both 9 and 15?
2
4
6
3
How many factors does the GCF of 9 and 15 have?
1
2
3
4
Which number is the largest common factor of 9 and 15?
3
5
9
15
Which pair of numbers has the same GCF as 9 and 15?
9 and 18
15 and 30
18 and 27
30 and 45
What is the GCF of 9 and 15 multiplied by 4?
11
12
15
18
What is the result of dividing the GCF of 9 and 15 by 3?
1
2
3
4
The GCF of 9 and 15 is subtracted from 9. What is the result?
6
9
12
15
Which of the following numbers is not divisible by the GCF of 9 and 15?
27
30
45
50
What is the sum of the GCF of 9 and 15 and the number 4?
7
8
9
10
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