any set of multiples of 6 with prime numbers
ex 6, 12 (6x2)
6, 18 (6x3)
12, 24 is not because 24 = 6 x 4 not prime
This is not the only set, any set that does not contain any other common factors than 6
ex 60 ---- 6x5x2
126 --- 6x7x3 the gcf is 6
So... maybe a better description is any set, which, when you do a prime factorization of all members of the set, will have no common factors other that 2 and 3 (product is 6 so the gcf will be 6. But that is just a restatement of the method of finding a gcf with a special set of circumstances.
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6 and 12
The greatest common factor of 6, 8, and 12 is 2. Explanation: 6=2x3, 8=2x2x2, 12=2x2x3 2 is highest common factor in all the 3 numbers.
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. 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 6 are 1, 2, 3, and 6. The factors of 81 are 1, 3, 9, 27, and 81. The common factors are 1 and 3. Therefore, the greatest common factor is 3.
There is not a greatest common factor of 42 because there cannot be a greatest common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The prime factors of 42 are 2, 3, and 7. Examples: The greatest common factor of 36 and 42 is 6. The greatest common factor of 42 and 91 is 7. The greatest common factor of 42 and 375 is 3.
The GCF of 6 and 45 is 3. 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. 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 6 are 1, 2, 3, and 6. The factors of 45 are 1, 3, 5, 9, 15, and 45. The common factors are 1 and 3. Therefore, the greatest common factor is 3.