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The GCF of 10 and 30 is 10.
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The greatest common factor (GCF) of 10 and 30 is 10. To find it, you can list the factors: for 10, they're 1, 2, 5, and 10; for 30, they're 1, 2, 3, 5, 6, 10, 15, and 30. The largest factor that both numbers share is 10, making it the GCF! Did you know that the concept of GCF can be traced back to ancient civilizations, including the Greeks, who were among the first to explore the relationships between numbers? They used methods similar to what we now call the Euclidean algorithm to find common factors and deepen their understanding of division and multiplication!
