The factors of 132 are: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 297 are: 1, 3, 9, 11, 27, 33, 99, 297
The common factors are: 1, 3, 11, 33
The Greatest Common Factor (GCF) is: 33
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The greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the GCD of 165 and 297, you can use the Euclidean algorithm. First, divide 297 by 165 to get a quotient of 1 and a remainder of 132. Then, divide 165 by 132 to get a quotient of 1 and a remainder of 33. Finally, divide 132 by 33 to get a quotient of 4 and a remainder of 0. Since the remainder is 0, the GCD of 165 and 297 is 33.
5 x 27 = 135. 7 x 27 = 189. 11 x 27 = 297. So the answer is 27.
11
One method is to express each number in terms of its prime factors. 189 = 3 x 3 x 3 x 7 = 33 x 7 297 = 3 x 3 x 3 x 11 = 33 x 11 The Greatest Common Factor is 33 = 27.
297 99,3 33,3,3 11,3,3,3