Find the greatest common factor of 24 and 42
To find the greatest common factor of 24 and 42, we can list out all of the factors of each number and then find the largest factor they have in common.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
The largest factor that they have in common is 6.
Therefore, the greatest common factor of 24 and 42 is 6.
To find the greatest common factor of two numbers, we will list the factors of each number and identify the common factors.
To find the factors of 24, we look for numbers that divide evenly into it. Start by dividing 24 by 2: 24 ÷ 2 = 12. So, 2 is a factor of 24. Next, divide 24 by 3: 24 ÷ 3 = 8. So, 3 is another factor. Continuing this process, we can see that the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Now let's find the factors of 42. Divide 42 by 2: 42 ÷ 2 = 21, which means 2 is not a factor. Next, divide 42 by 3: 42 ÷ 3 = 14. So, 3 is a factor of 42. Continuing this process, we find that the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
Now, let's identify the common factors of 24 and 42. From the list of factors, we can see that the common factors are 1, 2, 3, and 6.
Finally, to find the greatest common factor, we can see that the largest number in the common factors list is 6. Therefore, the greatest common factor of 24 and 42 is 6.
To find the greatest common factor (GCF) of 24 and 42, we need to determine the largest number that divides evenly into both numbers.
Step 1: List the factors of each number.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42.
Step 2: Identify the common factors.
The common factors of 24 and 42 are: 1, 2, 3, 6.
Step 3: Determine the greatest common factor.
The largest number among the common factors is 6.
So, the greatest common factor (GCF) of 24 and 42 is 6.