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The greatest common factor of 36and 60is 12. Explain what this means.

Short Answer

Expert verified

This means the GCF of two non-zero integers, 36and 60, is the greatest positive integer 12that divides both 36and 60 without any remainder.

Step by step solution

01

Definition for GCF:

The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions.

02

Step 2

36=2×3×2×360=2×3×2×5

The GCF=2×3×2=12

So,The GCF of 36and 60is 12which means both 30and 60gets divided by the greatest positive integer 12 without any remainder.

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