What is the Greatest Common Factor (GCF) of 12 and 15?
1
3
6
12
To find the Greatest Common Factor (GCF) of 12 and 15, you can use various methods such as listing common factors, prime factorization, and the long division method. By listing the factors, we see that the numbers factors of 12 are 1, 2, 3, 4, 6, and 12, 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, 12 is 2² × 3 and 15 is 3 × 5, with the common prime factor being 3. Using the long division method, dividing 15 by 12 gives a remainder of 3, and dividing 12 by 3 gives a remainder of 0, confirming that the GCF is 3. Thus, the GCF of 12 and 15 is 3.
To find the Greatest Common Factor (GCF) of 12 and 15 using the prime factorization method, follow these steps:
Prime factorization of 12:
12 = 2 × 2 × 3 = 2² × 3
Prime factorization of 15:
15 = 3 × 5
The only common prime factor of 12 and 15 is 3.
Since the only common prime factor is 3, the GCF is 3.
To find the Greatest Common Factor (GCF) of 12 and 15 using the long division method, follow these steps:
15 ÷ 12 = 1 with a remainder of 3.
Now, we have 12 and 3.
12 ÷ 3 = 4 with a remainder of 0.
The last non-zero remainder is 3. So, the GCF of 12 and 15 is 3.
To find the Greatest Common Factor (GCF) of 12 and 15 by listing common factors, follow these steps:
Factors of 12:
1, 2, 3, 4, 6, 12
Factors of 15:
1, 3, 5, 15
Common factors of 12 and 15:
1, 3
The largest common factor is 3. Therefore, the GCF of 12 and 15 is 3.
Use methods like long division, listing common factors, and prime factorization to find the GCF of 12 and 15.
The prime factorization of 15 is 3 × 5.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The GCF can be used to divide both the numerator and the denominator to simplify a fraction.
Yes, if one number is a multiple of the other. For 12 and 15, the GCF is 3.
The prime factorization of 12 is 2² × 3.
To find the Greatest Common Factor (GCF) of 12 and 15, you can use various methods such as listing common factors, prime factorization, and the long division method. By listing the factors, we see that the numbers factors of 12 are 1, 2, 3, 4, 6, and 12, 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, 12 is 2² × 3 and 15 is 3 × 5, with the common prime factor being 3. Using the long division method, dividing 15 by 12 gives a remainder of 3, and dividing 12 by 3 gives a remainder of 0, confirming that the GCF is 3. Thus, the GCF of 12 and 15 is 3.
Prime Factorization Method
Long Division Method
Listing Common Factors
To find the Greatest Common Factor (GCF) of 12 and 15 using the prime factorization method, follow these steps:
Prime factorization of 12:
12 = 2 × 2 × 3 = 2² × 3
Prime factorization of 15:
15 = 3 × 5
The only common prime factor of 12 and 15 is 3.
Since the only common prime factor is 3, the GCF is 3.
To find the Greatest Common Factor (GCF) of 12 and 15 using the long division method, follow these steps:
15 ÷ 12 = 1 with a remainder of 3.
Now, we have 12 and 3.
12 ÷ 3 = 4 with a remainder of 0.
The last non-zero remainder is 3. So, the GCF of 12 and 15 is 3.
To find the Greatest Common Factor (GCF) of 12 and 15 by listing common factors, follow these steps:
Factors of 12:
1, 2, 3, 4, 6, 12
Factors of 15:
1, 3, 5, 15
Common factors of 12 and 15:
1, 3
The largest common factor is 3. Therefore, the GCF of 12 and 15 is 3.
Use methods like long division, listing common factors, and prime factorization to find the GCF of 12 and 15.
The prime factorization of 15 is 3 × 5.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The GCF can be used to divide both the numerator and the denominator to simplify a fraction.
Yes, if one number is a multiple of the other. For 12 and 15, the GCF is 3.
The prime factorization of 12 is 2² × 3.
Text prompt
Add Tone
10 Examples of Public speaking
20 Examples of Gas lighting
What is the Greatest Common Factor (GCF) of 12 and 15?
1
3
6
12
Which of the following numbers is a common factor of both 12 and 15?
2
3
4
5
How many factors does the GCF of 12 and 15 have?
1
2
3
4
Which number is the largest common factor of 12 and 15?
2
3
4
5
What is the smallest prime factor of the GCF of 12 and 15?
2
3
5
7
Which pair of numbers has the same GCF as 12 and 15?
24 and 30
18 and 27
36 and 45
20 and 25
If you add the GCF of 12 and 15 to the number 7, what is the result?
8
10
12
15
The GCF of 12 and 15 is also a factor of which of the following numbers?
30
35
40
45
What is the GCF of 12 and 15 multiplied by 4?
9
15
11
12
What is the GCF of 12, 15, and 18?
3
6
9
12
Before you leave, take our quick quiz to enhance your learning!