What is the Greatest Common Factor (GCF) of 12 and 18?
2
3
6
9
The greatest common factor (GCF) of 12 and 18 is 6. To find the GCF, you can identify the common factors of both numbers and select the greatest one. For 12, the factors are 1, 2, 3, 4, 6, and 12. For 18, the factors are 1, 2, 3, 6, 9, and 18. The greatest common factor among them is 6, as it’s the largest number that divides both 12 and 18 without leaving a remainder. This means that 6 is the largest number that can evenly divide both 12 and 18, making it their greatest common factor.
The GCF of 12 and 18 is 6. By identifying their common factors (1, 2, 3, and 6), we find 6 as the largest number that divides both without remainder. This value aids in simplifying fractions and other mathematical calculations involving these numbers.
Step 1: Prime factorize each number.
Step 2: Identify common prime factors.
Step 3: Multiply the common prime factors.
2 × 3 = 6
So, the GCF of 12 and 18 is 6.
Step 1: We divide 18 (the larger number) by 12 (the smaller number). This yields a quotient of 1 and a remainder of 6.
Step 2: As the remainder (6) is not 0, we continue by dividing the divisor from the previous step (12) by the remainder (6). This results in a quotient of 2 and no remainder.
Step 3: Since the remainder is now 0, we stop. The divisor from the last division, which is 6, represents the GCF of 12 and 18.
Thus, the GCF of 12 and 18 is 6.
To find the greatest common factor (GCF) of 12 and 18 by listing common factors, identify numbers that divide both 12 and 18, yielding 1, 2, 3, and 6. The largest common factor, 6, is the GCF.
The GCF is calculated by identifying the largest number that divides evenly into two or more numbers.
Finding the GCF is important for simplifying fractions, finding common denominators, and solving various mathematical problems.
The GCF is useful for simplifying calculations involving fractions, ratios, and proportions.
The greatest common multiple of 12 and 18 is 36, the smallest number divisible by both without remainder.
The lowest common factor of 12 and 18 is 1, as it’s the smallest positive integer that divides both numbers without leaving a remainder.
The greatest common factor (GCF) of 12 and 18 is 6. To find the GCF, you can identify the common factors of both numbers and select the greatest one. For 12, the factors are 1, 2, 3, 4, 6, and 12. For 18, the factors are 1, 2, 3, 6, 9, and 18. The greatest common factor among them is 6, as it’s the largest number that divides both 12 and 18 without leaving a remainder. This means that 6 is the largest number that can evenly divide both 12 and 18, making it their greatest common factor.
The GCF of 12 and 18 is 6. By identifying their common factors (1, 2, 3, and 6), we find 6 as the largest number that divides both without remainder. This value aids in simplifying fractions and other mathematical calculations involving these numbers.
Prime Factorization Method
Long Division Method
Listing Common Factors
Step 1: Prime factorize each number.
Prime factorization of 12: 12 = 2 × 2 × 3
Prime factorization of 18: 18 = 2 × 3 × 3
Step 2: Identify common prime factors.
The common prime factors are 2 and 3.
Step 3: Multiply the common prime factors.
2 × 3 = 6
So, the GCF of 12 and 18 is 6.
Step 1: We divide 18 (the larger number) by 12 (the smaller number). This yields a quotient of 1 and a remainder of 6.
Step 2: As the remainder (6) is not 0, we continue by dividing the divisor from the previous step (12) by the remainder (6). This results in a quotient of 2 and no remainder.
Step 3: Since the remainder is now 0, we stop. The divisor from the last division, which is 6, represents the GCF of 12 and 18.
Thus, the GCF of 12 and 18 is 6.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
To find the greatest common factor (GCF) of 12 and 18 by listing common factors, identify numbers that divide both 12 and 18, yielding 1, 2, 3, and 6. The largest common factor, 6, is the GCF.
The GCF is calculated by identifying the largest number that divides evenly into two or more numbers.
Finding the GCF is important for simplifying fractions, finding common denominators, and solving various mathematical problems.
The GCF is useful for simplifying calculations involving fractions, ratios, and proportions.
The greatest common multiple of 12 and 18 is 36, the smallest number divisible by both without remainder.
The lowest common factor of 12 and 18 is 1, as it’s the smallest positive integer that divides both numbers without leaving a remainder.
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What is the Greatest Common Factor (GCF) of 12 and 18?
2
3
6
9
Which number is not a factor of the GCF of 12 and 18?
2
3
4
6
If you divide 12 and 18 by their GCF, what are the results?
2 and 3
3 and 6
4 and 6
6 and 9
What is the sum of the factors of the GCF of 12 and 18?
7
10
12
14
Which pair of numbers has a GCF of 6?
12 and 15
18 and 24
12 and 18
8 and 10
How many factors does the GCF of 12 and 18 have?
3
4
5
6
What is the difference between the largest and smallest factors of the GCF of 12 and 18?
2
3
4
5
What is the GCF of 12 and 18 if both numbers are multiplied by 2?
6
12
18
24
Which statement is true about the GCF of 12 and 18?
It is always less than 12
It is equal to the smallest number
It is a prime number
It is greater than the largest number
Which operation can be used to find the GCF of two numbers?
Addition
Subtraction
Multiplication
Division
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