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Homework 2: Primes, GCD, and Congruences

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[2pts] Use the trial division algorithm to find the prime factorization for the following numbers:
6300
2080
[2pts] Use the Euclidean Algorithm to find the GCD of the following:
gcd⁡〖(900,270)〗
gcd⁡〖(154,165)〗
[3pts] Prove Theorem 4.4.1: Let m∈Z^+ and a,b,c∈Z. If (i) ac≡bc(mod m) and (ii) gcd⁡(c, m)=1 then a≡b(mod m)
[3pts] Prove the Chinese Remainder Theorem

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