Factor the numbers and then look for the largest factor common to both.
Factors of 8 are 1, 2, 4, and 8.
Factors of 52 are 1, 2, 4, 13, 26, and 52.
The greatest common factor (GCF) is 4.
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The numbers are coprime so their gcf is 1.
GCF = 4
The greatest common factor of the numbers 8 and 20 is 4.
The GCF is 26.
Let this numbers be x and y, then x + y = 52 x - y = 8 x = 8 + y x + y = 52 substitute 8 + y for x into the first equation; 8 + y + y = 52 8 + 2y = 52 subtract 8 to both sides; 2y = 44 divide by 2 to both sides; y = 22 x = 8 + y substitute 22 for y into the equation; x = 8 + 22 x = 30 Thus this numbers are 22 and 30. 22 & 30