Answer:
8 is the GCF
Step-by-step explanation:
Step 1: Find the GCF
Factors of 24a: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32b: 1, 2, 4, 8, 16, 32
Answer: 8 is the GCF
Answer:
To find GCF, factor both terms to their lowest prime factors:
24a =
12 • 2 • a =
(4 • 3) • 2 • a =
(2 • 2)(3)(2)(a)
24a = 2 • 2 • 2 • 3 • a
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32b =
16 • 2 • b =
(4 • 4) • 2 • b =
(2 • 2)(2 • 2) • 2 • b
32b = 2 • 2 • 2 • 2 • 2 • b
-○§○§○-
24a = 2 • 2 • 2 • 3 • a
32b = 2 • 2 • 2 • 2 • 2 • b
Now find the common factors:
2, 2, and 2
There are only three (2)s as factors in 24a, and this is the GCF between them as (2)s. So the three (2)s are part of the GCF.
Only 24a has the factor (3), which 32b does not have. This means that it is not a common factor, and is not included among the GCF.
Both terms have different variables; one has a, one has b. Again, these are not common factors.
-○§○§○-
The GCF of 24a & 32b is (2 • 2 • 2), or 2³.
Step-by-step explanation:
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