How do you find the greatest common factor of 40, 10?

Answer 1

Mila Anderson

#GCF(10,40)=10#

make a list of every factor for every number and select the common ones.

factors of #10:{color(red)(1,2,5,10)}#

factors of #40:{color(red)(1,2),4,color(red)(5),8,color(red)(10),20,40}#

common factors #{1,2,5,10}#

#GCF(10,40)=10#

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Answer 2

Benjamin Altschul

To find the greatest common factor (GCF) of 40 and 10, you can use the prime factorization method.

Find the prime factorization of each number:
- 40 = 2^3 × 5
- 10 = 2 × 5
Identify the common prime factors and their lowest powers:
- Common prime factor: 2 and 5
- Lowest powers: 2^1 × 5^1 = 10
Multiply the common prime factors with their lowest powers to find the GCF:
- GCF(40, 10) = 2 × 5 = 10

Therefore, the greatest common factor of 40 and 10 is 10.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.