Introduction
As a professional teacher, it is essential to understand the concept of the greatest common factor (GCF). The GCF is the largest number that divides two or more numbers without leaving any remainder. In this article, we will discuss the GCF of 36 and 12.Prime Factorization
To find the GCF of 36 and 12, we need to start by finding the prime factors of each number. A prime factor is a number that is only divisible by 1 and itself. The prime factors of 36 are 2, 2, 3, and 3. The prime factors of 12 are 2, 2, and 3.Identifying Common Factors
Once we have identified the prime factors of each number, we need to identify the common factors. Common factors are numbers that divide both 36 and 12 without leaving a remainder. In this case, the common factors are 2 and 3.Determining the GCF
To determine the GCF, we need to find the largest common factor. In this case, the largest common factor is 12. Therefore, the GCF of 36 and 12 is 12.Another Method: Division
Another method to find the GCF of two numbers is through division. We divide the larger number by the smaller number, and the remainder becomes the new dividend. We repeat the process until the remainder is zero. The last divisor is the GCF. Let's apply this method to 36 and 12.36 ÷ 12 = 3, remainder 0
12 is the GCF of 36 and 12.
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