ROCA exploit puts at risk millions of high-security crypto keys

ROCA (Return of Coppersmith’s Attack) is a new exploit that puts at risk millions of high-security cryptography keys used in national identity cards, software signing, trusted platform modules and enterprise computers. This exploit enables the attacker to compute the private part of an RSA key. The attack works for all commonly used key lengths, including 1024 and 2048 bits, and affects chips manufactured as early as 2012.
The way the RSA keys are supposed to be calculated is: two large prime numbers are multiplied together to get private and public keys. The public key is shared, it cannot be used to derive private key since it is very difficult to factor a large sum to reveal the primes that make up the private key. However, if someone manages to get both the original prime numbers they can calculate the private key to impersonate as the key owner.
Failure to make sure that the public key wasn’t factorable, put critical systems at risk as its chips have been used by several technology giants, including Google, Microsoft, HP, Lenovo, Fujitsu (all of them have released a fix).