What is the GCF of 56 and 70?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 56 and 70, which involves finding the largest number that divides both 56 and 70 without leaving a remainder.
Answer
14
Answer for screen readers
The greatest common factor of 56 and 70 is 14.
Steps to Solve
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Find the factors of 56
List all the factors of 56 by checking which numbers divide 56 evenly.
The factors are:
1, 2, 4, 7, 8, 14, 28, 56 -
Find the factors of 70
Next, list the factors of 70 by checking which numbers divide 70 evenly.
The factors are:
1, 2, 5, 7, 10, 14, 35, 70 -
Identify common factors
Compare the factors of 56 and 70 to identify the common factors.
Common factors are:
1, 2, 7, 14 -
Determine the greatest common factor (GCF)
From the list of common factors, select the largest one.
Thus, the greatest common factor is 14.
The greatest common factor of 56 and 70 is 14.
More Information
The GCF is useful for reducing fractions and simplifying problems in number theory. In this case, 14 is the highest number that divides both 56 and 70 without a remainder.
Tips
- Forgetting to list all factors: Make sure to list all numbers that divide the given number completely.
- Overlooking common factors: It's important to carefully compare both sets of factors and ensure no common number is missed.
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