Oh, what a happy little question! To find the greatest common factor of 540 and 504, we can first list the factors of each number. For 540, the factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 45, 54, 60, 90, 108, 135, 180, 270, and 540. For 504, the factors are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, and 504. The greatest common factor is the largest number that appears in both lists, which in this case is 36.
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The answer is 60
The GCF of 40,15 is 515 = 3 x 540 = 2 x 2 x 2 x 5-----------------------------------------------------------------------------------------------------------Another way to see it, which may be easier for you to understand is:15 = 5 x 3 (5 is a factor and 3 is a factor)40 = 5 x 8 (5 is a factor and 8 is a factor)So the answer is 5, which is the largest number (greatest common factor) that will divide evenly into 40 and 15.The GCF is 5.
36. (2160 = 36 x 60, 540 = 36 x 15)
The factors of 540 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540The factors of 567 are: 1, 3, 7, 9, 21, 27, 63, 81, 189, 567The common factors are: 1, 3, 9, 27The Greatest Common Factor (GCF) is: 27
20 = 22 x 540 = 23 x 5100 = 22 x 52GCF = 22 x 5 = 20(The greatest common factor is the product of all the factors that the numbers have in common.)