What number could go into 21 and 28? This question often arises in various mathematical contexts, such as finding the greatest common divisor (GCD) or determining the least common multiple (LCM) of two numbers. In this article, we will explore the factors of 21 and 28, and identify the common numbers that can divide both of these integers.
The factors of a number are the integers that can divide it without leaving a remainder. To find the factors of 21 and 28, we can list all the numbers that divide these integers without any remainder.
Let’s start with 21. The factors of 21 are 1, 3, 7, and 21. Now, let’s move on to 28. The factors of 28 are 1, 2, 4, 7, 14, and 28. By comparing these lists, we can see that the common factors of 21 and 28 are 1 and 7.
Therefore, the number that could go into both 21 and 28 is 1 and 7. These common factors are essential in various mathematical operations, such as finding the GCD and LCM. The GCD of 21 and 28 is 7, which is the largest common factor between the two numbers. On the other hand, the LCM of 21 and 28 is 84, which is the smallest number that is a multiple of both 21 and 28.
In conclusion, the number that could go into both 21 and 28 is 1 and 7. These common factors play a significant role in various mathematical operations and are crucial for understanding the relationships between different numbers. By exploring the factors of 21 and 28, we can gain a deeper understanding of number theory and its applications in various fields.
