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What do 2 4 and 8 have in common?

Updated: 8/21/2019
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2, 4, and 8 are all multiples of 2: 2x1, 2x2, 2x4 and also a sequence of powers of two: 2^1, 2^2, 2^3. By that fact they are all even numbers.

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Q: What do 2 4 and 8 have in common?
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The greatest common factor of 4 and 8 is: 4.Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.Details of Solving the ProblemThe greatest common factor of 4 is itself. Because 4 is a factor of 8 (2 x 4 = 8), and since there is no greater (larger) factor for 4 other than 4 itself, 4 is the greatest common factor of 8 and 4.Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 4 are 1, 2, and 4.The factors of 8 are 1, 2, 4, and 8.The common factors are 1, 2, and 4. Therefore, the greatest common factor is 4.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 4 are 2 and 2.The prime factors of 8 are 2, 2, and 2.The prime factors in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.Summary:The common factors of 4 and 8 are 1, 2, and 4.The greatest common factor of 4 and 8 is 4.The GCF of 4 and 8 is 4.44The GCF is 4.


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