Smarter code for multiple pushbutton selection

I'm writing a GUI where I can control plot color by pushbutton and uisetcolor() which also color the pushbutton and handle (store) the color code to be used for plot color in a PlotFcn. I have 60 pushbutton and code each separately as in my code below. But is there a way to reduce my code to less lines and make it smarter and still be able to control the color of each pushbutton?

My code is:

% --- Change color on plot 1 colorbutton1.
function colorbutton1_Callback(hObject, eventdata, handles)
rgb = uisetcolor();
set(handles.colorbutton1, 'BackgroundColor', rgb);
guidata(hObject, handles);
ColorFcn(handles)

% --- Change color on plot 2 colorbutton1.
function colorbutton2_Callback(hObject, eventdata, handles)
rgb = uisetcolor();
set(handles.colorbutton2, 'BackgroundColor', rgb);
guidata(hObject, handles);
ColorFcn(handles)

 % --- Change color on plot 3 colorbutton1.
 function colorbutton3_Callback(hObject, eventdata, handles)
 rgb = uisetcolor();
 set(handles.colorbutton3, 'BackgroundColor', rgb);
 guidata(hObject, handles);
 ColorFcn(handles)

function ColorFcn(handles) 
X=handles.X;

col=zeros(numel(X(1,:)),3)
for i = 1:numel(X(1,:))
    col(i,:)=get(handles.(sprintf('colorbutton%d',i)),'BackgroundColor')    
end  

handles.col=col
guidata(gcbo, handles);
PlotFcn(handles)

Answer 1

[Walter Roberson]

function colorbutton1_Callback(hObject, eventdata, handles) process_color_button(hObject, handles);

(code all of the buttons with that same line of code)

function process_color_button(hObject, handles) rgb = uisetcolor(); set(hobject, 'BackgroundColor', rgb); ColorFcn(handles)

Note: the

 guidata(hObject, handles);

is not needed. Setting the BackgroundColor of a graphics object does not change the handles structure.

You can get away without defining those 60 different colorbuttonN_Callback functions if you remove all of those and add to your gui OpenFcn:

buts = findall(gcf, '-regexp', 'tag', '^colorbutton\d+');
set(buts, 'Callback', @process_color_button)

and use

function process_color_button(hObject, ~)
  rgb = uisetcolor();
  set(hobject, 'BackgroundColor', rgb);
  handles = guidata(hObject);
  ColorFcn(handles);