3^2 x 5
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45 = 32 x 51
105There are many others.
3 x 3 x 5
Prime factorization of 45 = 3x3x5Prime factorization of 60 = 2x2x3x5Prime factorization of 160 = 2x2x2x2x2x5Only common factors are 5 (and 1).Therefore GCF = 5.
Prime Factorization of 90To find the prime factorization of 90, start with the lowest prime number that will divide into 90. That number is 2. 2 times 45 equals 90. 2 is a number in the prime factorization of 90. Next, find the lowest prime number that will divide into 45. The number is 3, and 3 times15 equals 45. 3 is one of the prime factors, so now you have 2 times 3 times 15. 15 is not a prime number, and the lowest prime number that will divide into 15. 3 times 5 is 15. You'll notice that both 3 and 5 are prime numbers, so the prime factorization of 90 is 2 X 3 X 3 X 5. Check your answer to make sure it is correct and you're done.