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Why is 3 the greatest common factor of 6 15?

Updated: 10/17/2024

Wiki User

∙ 11y ago

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Because it is the largest number that divides into both 6 and 15 evenly with no remainder.

Wiki User

∙ 11y ago

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3 is the greatest common factor of 69 and 15.

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What is the greatest common factor of 6 and 15?

The greatest common factor (gcf) of 15 and 6 is 3.Factors of 6:1,2,3,6Factors of 15: 1,3,5,15The greatest common factor of the numbers 6 and 15 is 3.The GCF of 6 and 15 is 3. This gives you 2 and 5 respectively. You cannot get any more common factors that impact the end figure.The GCF is 3.Greatest common factor of 6 and 15 is 3.

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Since 15 is a factor of 75, and 15 is its own largest factor, the greatest common factor must be 15.Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 15 are 1, 3, 5, and 15.The factors of 75 are 1, 3, 5, 15, 25, and 75.The common factors are 1, 3, 5, and 15. Therefore, the greatest common factor is 15.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 15 are 3 and 5.The prime factors of 75 are 3, 5, and 5.The prime factors in common are 3 and 5, so the greatest common factor is 3 x 5 = 15.It is 15

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