Question

Find the $GCF$ of the given numbers. $$10,12$$

   Find the $GCF$ of the given numbers.
$$10,12$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 1, Problem 52

Instant Answer

Solved by Expert Brandon Fox

07/24/2020

Step 1

The factors of 10 are 1, 2, 5, and 10. The factors of 12 are 1, 2, 3, 4, 6, and 12. Show more…

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Find the $GCF$ of the given numbers. $$10,12$$

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Key Concepts

Divisibility

Divisibility refers to the property of an integer being divisible by another integer without leaving a remainder. Understanding divisibility is crucial for determining which numbers qualify as factors, and subsequently, for identifying the common factors among different numbers.

Factorization

Factorization involves breaking down a number into a product of other numbers, typically its prime factors. This process helps in identifying all the factors of a number and is an essential step for methods that calculate the GCF by comparing the common factors of given numbers.

Greatest Common Factor (GCF)

The Greatest Common Factor is the largest positive integer that can evenly divide two or more integers without leaving a remainder. It is a fundamental concept in arithmetic and number theory, often used to simplify fractions, reduce ratios, and solve problems involving common divisors.

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