Question 1

What is the difference between GCF and LCM?

Accepted Answer

The Greatest Common Factor (GCF) is the largest integer that divides evenly into all given numbers, while the Least Common Multiple (LCM) is the smallest positive integer that is a multiple of all given numbers.

Question 2

How does the Euclidean Algorithm work?

Accepted Answer

The Euclidean algorithm iteratively divides the larger number by the smaller number and replaces the pair with the divisor and remainder until the remainder reaches zero. The final divisor is the GCF.

Question 3

What does it mean if two numbers are coprime?

Accepted Answer

Two integers are coprime (or relatively prime) if their only common positive divisor is 1, meaning GCF(a, b) = 1.

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