The common factors of 270 and 3000 are numbers that can evenly divide both 270 and 3000 without leaving a remainder. To find the common factors, we first need to find the prime factorization of each number. The prime factorization of 270 is 2 x 3^3 x 5, and the prime factorization of 3000 is 2^3 x 3 x 5^3. By comparing the prime factors of both numbers, we can identify the common factors as 2, 3, and 5.
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The factors of 270 are:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The factors of 3000 are:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
The common factors are:
1, 2, 3, 5, 6, 10, 15, 30
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 270 and 3000 is 30
To find the greatest common divisor (GCD) of 120 and 270, we first list the factors of each number. The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 54, 90, and 270. The common factors are 1, 2, 3, 5, 6, 10, 15, and 30. The greatest common divisor of 120 and 270 is 30.
270 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 16 factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270.The factor pairs of 270 are 1 x 270, 2 x 135, 3 x 90, 5 x 54, 6 x 45, 9 x 30, 10 x 27, and 15 x 18.The proper factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, and 135 or,if the definition you are using excludes 1, they are 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, and 135.The prime factors of 270 are 2, 3, 3, 3, and 5. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.The distinct prime factors (listing each prime factor only once) of 270 are 2, 3, and 5.The prime factorization of 270 is 2 x 3 x 3 x 3 x 5 or, in exponential form, 2 x 33 x 5.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.
Oh, dude, the greatest common factor of 180 and 270 is 90. Like, it's basically the biggest number that can divide both 180 and 270 without leaving a remainder. So, yeah, 90 is the winner in this math showdown.
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.The common factors are: 1, 2, 3, 5, 6, 10, 15, 30.The Greatest Common Factor (GCF) is: 30