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To find the greatest common factor (GCF) of two numbers, we need to identify the common prime factors and determine the lowest power of each factor that appears in both numbers.
The prime factorization of the first number, 2x2x3x5x5, is 2^2 x 3 x 5^2. The prime factorization of the second number, 2x3x3x5x7, is 2 x 3^2 x 5 x 7.
Comparing the prime factorizations, we see that the common factors are 2, 3, and 5. The lowest power of each common factor is 2^1 x 3^1 x 5^1, which equals 30. Therefore, the greatest common factor of the two numbers is 30.
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24 is the greatest common factor of what number?
24 is not the greatest common factor of any single number. Common factors are the factors that two or more numbers have in common. The greatest common factor is the largest factor that two or more numbers have in common. There cannot be any common factors or a greatest common factor of a single number. There must be at least two number for common factors and a greatest common factor. Example: The greatest common factor of 24 and 48 is 24. The greatest common factor of 60 and 144 is 24. The greatest common factor of 240 and 264 is 24.
Why is there no Least Common factor if there is Greatest Common Factor?
The least common factor is always one (1), regardless of what the greatest common factor is.
What are the greatest common factor of 8 and 32?
The greatest common factor of 8 and 32 is 8.
What one number has the greatest common factor of 871?
Answer: None, it is impossible. No single number has a greatest common factor. A "common factor" is a factor that two or more numbers have in common. The "greatest common factor" is the largest factor that two or more numbers have in common.
Greatest common factors of 16?
There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor is the largest factor common to two or more numbers.
