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What is the greatest common factor of 114 and 190?
Answer:The greatest common factor of 114 and 190 is 38.The common factors of 114 and 190 are 1, 2, 19, and 38.Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Methods:One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 114 are 1, 2, 3, 6, 19, 38, 57, and 114.The factors of 190 are 1, 2, 5, 10, 19, 38, 95, and 190.The common factors are 1, 2, 19, and 38. Therefore, the greatest common factor is 38.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 114 are 2, 3, and 19.The prime factors of 190 are 2, 5, and 19.The prime factors in common are 2 and 19, so the greatest common factor is 2 x 19 = 38.
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