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To find the greatest common factor (GCF) of two numbers, we need to identify all of the factors that they have in common and then select the largest one.
To find the factors of 36 and 48, we can start by listing the first few multiples of each number:
36: 1, 2, 3, 4, 6, 9, 12, 18, 36 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
We can see that the factors that 36 and 48 have in common are: 1, 2, 3, 4, 6, 12. The largest of these is 12, so the GCF of 36 and 48 is 12.
Therefore, the GCF of 36 and 48 is 12.