Find the GCF of the given numbers. See Example 9.
57, 125
Reference Example 9.
Find the GCF of 8 and 15.
Strategy We will begin by finding the prime factorizations of 8 and 15.
Why Then we can identify any prime factors that they have in common.
Solution
The prime factorizations of 8 and 15 are shown below.
8 = 2 · 2 · 2
15 = 3 · 5
Since there are no common factors, the GCF of 8 and 15 is 1. Thus,
GCF (8, 15) = 1 Read as “The greatest common factor of 8 and 15 is 1.”
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