Answer:
4
Explanation:
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100
They have 4 in common
100 = 2*2*5*5
84 = 2*2*3*4
the greatest common factor is a prime number whit most appearance in both numbers:
in this case the prime number is 2 and it is repeated twice in both numbers, hence 2*2 = 4
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