Depends on your definition of "better".
Both rifles have their pros and cons, and each will do what the other one cannot. Briefly, here is the rundown:
M-1
Pros:
Cons:
M-16
Pros
Cons
So, if you are after long-range shooting and don't need to run around much (unless you are in shape), the M1 is for you. If you need to move a lot, walk far, or fight in tight quarters, the M16 is the better choice.
The M1 was a great advance for 1936, but it is obsolete as a military weapon. This is due both to the changing warfare and to the improvements made to the M16. There is little difference in the accuracy between the two at their effective ranges, provided we are comparing rifles in similar condition. Both rifles are used in target matches with great success.
As to the bayonet, the M16 can mount one and only a split-second is needed to switch the hand to the stock, but one must be careful not to smash the enemy's head too roughly with the stock. The recoil spring is located in the stock, and if broken the weapon will not fire. The advent of the rifled bullet in the 1800's greatly reduced the chances of bayonet encounters, but they still happen occasionally, and in this area the M1 Garand is definitely superior.
Use of accessories such as tactical lights and underbarrel grenade launchers can make attaching a bayonet to an M16 impossible, same with the Garand, mounting a grenade launcher or flash supressor to the muzzle makes it impossible to mount the bayonet, however, the M1 being built like a tank, can easily be used as a club and rifle butting as a substitute for a bayonet.
Another important difference is in how much ammo you can comfortably carry. The .30 caliber (7.62 mm) rounds of the M1 are much heavier than the .223 (5.56 mm) rounds of the M16 because of heavier bullets and larger cases containing more propellant. The standard load-out of a US infantryman with an M16 is 210 rounds - 6 magazines in pouches and 1 in the rifle. With an M1 it was 143 rounds - 10 clips in the cartridge belt, 6 clips (48 rounds) in the standard issue cotton bandoleer, and one clip in the rifle.
They are two different weapon classes, with different purposes, none is overall better than the other, one is a service rifle, and one is a personal defence weapon. the M-1 Carbine is more effective in close quarter battle and as a personal defence weapon, better suited for urban combat and clearing out houses, while the M-16 is a rifle and as a result, has better range and accuracy intended for longer range shots. They both have strengths and weaknesses, it depends on what situation you're in, in some situations the Carbine is superior, in others, the M-16 is better.
your M1 garand was made in 1940
your M1 garand was made in 1941
The Korean War (1950-1953) was the last official war for the M1 Garand rifle in the US military. It was replaced by the M14 Service Rifle, which went to Vietnam in 1965. Which in turn was replaced by the M16 Assault Rifle in about 1966/67.
"Ga-rand" when speaking of the rifle, and "Gair-und", when talking about John Garand himself.
your garand rifle was made in 1945
It was phased out of service fully in the mid-1970s, when the US government announced that the M16 was going to be adopted as a standard small arm (previously, it was intended to be used exclusively as a jungle rifle). The M16 effectively replaced the M14 rifle, M1 Garand rifle (in the case of some National Guard units which still fielded it in the 1970s), M1 carbine, and M3 submachinegun (in most roles).
One can buy the M1 Garand rifle from 'CMP Sales'. Their website has pricing details for the rifle, details of where you can find a store to purchase and what are the requirements to be allowed to buy one.
BRNOs are known to be very reliable to those who use them, but are rarely heard of. The M1 however, was used by the army in the war after intensive testing. The M1 has been the basis of ALL M series rifles including the popular M16 and sniper rifle M21. The M1 Garand was used in two major wars and a few smaller guerrilla wars. The same can't be said about the BRNO Rifles. Correction to the above: The Garand was the basis of the M14 and variants (including the M21), and was partially the basis of the M1 carbine, but is in no way the basis of other M series weapons, least of all the M16 and M4, which use a totally different design and operating system. The US military used the "M" nomenclature for quite some time before the Garand was adopted (such as the M1903, M1911, M1918, M1919, etc.), so it certainly could not have been the basis for M series firearms designed before the Garand.
The M1 Garand rifle is 43.5 inches long. The M1 motorway is 159.02 miles. You did not say which you are looking for-
your garand was made in 1944
M1 Garand
your springfield m1 garand was made in 1955.