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Do factor trees always work for determining the greatest common factors?
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.
List two methods that can be used to find the greatest common factor of a set of numbers?
Prime factorization and the Euclidean algorithm
How do you find the greatest common factor in the hundreds and thousands?
The same as with smaller numbers. Every composite number, no matter the size, can be expressed as the product of prime factors. Comparing prime factorizations will give you the GCF.
What is the greatest common factor of 51 and 20?
Greatest common factor of 20 & 51 is 1. Factors of 20 are 1, 2, 4, 5, 10 & 20. Factors of 51 are 1, 3, 17 & 51. The only common factor is 1, so GCF is 1. Alternate method: Prime factorization of 20 = 2x2x5 Prime factorization of 51 = 3x17 From the prime factorizations it is clear that 1 is the GCF of 20 and 51.
How do you find the greatest common factor of 4 digit numbers?
Example: 30 and 42 List the factors. 1,2,3,5,6,10,15,30 1,2,3,6,7,14,21,42 Select the common factors. 1,2,3 and 6, the GCF.
