There's technically no such thing as the "latest age" to claim Social Security. Once you turn 62, you can file for benefits at any time.

But there's no financial incentive to delay your filing past the age of 70. So, generally speaking, 70 is considered the latest age to claim benefits, even though you can easily file for Social Security at 71, 72, or beyond, should you so choose.

Now, as a refresher on how claiming benefits works, you're entitled to your full monthly Social Security paycheck based on your earnings record once you reach full retirement age (FRA), which is 67 for anyone born in 1960 or later.

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Source Fool.com