To find the greatest common factor (GCF) of 36, 60, and 84, you can break down each number into its prime factorization and then identify the common prime factors.
Prime factorization of 36:
36
=
2
2
×
3
2
36=2
2
×3
2
Prime factorization of 60:
60
=
2
2
×
3
×
5
60=2
2
×3×5
Prime factorization of 84:
84
=
2
2
×
3
×
7
84=2
2
×3×7
Now, identify the common prime factors and multiply them:
�
�
�
(
36
,
60
,
84
)
=
2
2
×
3
=
12
GCF(36,60,84)=2
2
×3=12
So, the greatest common factor of 36, 60, and 84 is 12.
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