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Big Ideas Math: Modeling Real Life, Grade 7
BI
Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Rational Numbers
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Exercise 8 Page 7

Find the product of the common prime factors.

24

Practice makes perfect

The greatest common factor (GCF) is the greatest number that is a factor of two or more numbers. The first step for finding a GCF is to break down each number into its prime factors. We will write down all of the prime factors that are common between the given numbers.

Given number Prime Factorization Common Prime Factors
48 2* 2* 2* 2* 3 2, 2, 2, 2, 3
72 2* 2* 2* 3* 3 2, 2, 2, 3, 3

For the given values, the common prime factors are 2, 2, 2, and 3. The next step is to calculate the product of these factors. 2* 2* 2* 3 = 24 This means that the GCF for this pair of numbers is 24.

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