What is the highest common factor of 28 and 70?

Understand the Problem

The question is asking for the highest common factor (HCF) of the numbers 28 and 70. To solve this, we would find all the factors of both numbers and identify the largest factor that they share.

The highest common factor (HCF) of 28 and 70 is $14$.

The highest common factor (HCF) of 28 and 70 is $14$.

Steps to Solve

1. Find the factors of 28

The factors of 28 are the numbers that divide 28 without leaving a remainder. Calculating, we find: $$28 = 1, 2, 4, 7, 14, 28$$

1. Find the factors of 70

Next, we find the factors of 70. Calculating, we have: $$70 = 1, 2, 5, 7, 10, 14, 35, 70$$

1. Identify the common factors

Now, we identify the factors that 28 and 70 have in common by comparing the two sets of factors: Common factors are: $$1, 2, 7, 14$$

1. Determine the highest common factor (HCF)

Finally, we choose the largest number from the common factors: The highest common factor (HCF) is: $$HCF = 14$$

The highest common factor (HCF) of 28 and 70 is $14$.