On Jan. 25, 2013 the largest known Prime number, 257,885,161-1, was discovered on Great internet Mersenne Prime Search (GIMPS) volunteer Curtis Cooper's computer. The new prime number, 2 multiplied by itself 57,885,161 times, less one, has 17,425,170 digits.
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99 is not a prime because it can be divisible by 3 and 33
257,885,161 -1 as of 2013. New primes are being calculated all the time, so this will change as new and larger ones are discovered. Also, note that there are infinitely many primes (proved by Euclid around 300 BCE), so there won't ever be a single "highest" prime, only the highest one known.
To find the highest prime factor of 420, we first need to factorize 420 into its prime factors. 420 can be expressed as 2^2 * 3 * 5 * 7. The highest prime factor is 7. Prime factors are numbers that can only be divided by 1 and themselves without leaving a remainder, and the highest prime factor is the largest prime number that can divide the original number.
9973.
We can't answer this if you don't provide a range since new higher prime numbers get discovered every year or so. Since the lowest prime number is 2, the product will be whatever the highest prime number is doubled.