121: 11-11 132: 2-2-3-11 Great common factor: 11 Method(s) used: # (used) The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6, the GCF
The great common factor of 16 and 18 is 2.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 16: 1, 2, 4, 8Factors of 18: 1, 2, 3, 6, 9The greatest common factor is 2.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.16 = 2 * 2 * 2 * 218 = 2 * 3 * 316 and 18 share one 2 as a prime factor. Therefore, the greatest common factor is 2.
The GCF of 6 and 8 is 2.The factors of 6 are: 1, 2, 3, 6The factors of 8 are: 1, 2, 4, 8The common factors are: 1, 2The Greatest Common Factor (GCF) is: 2
No, a GCF is not always great than one. For example the GCF of 7 and 3 is 1.
Two or more numbers are needed to find their GCF
"Common" means "same for both". There's nothing common about one thing. A single number has no common factors. If you want common factors, you need at least two numbers so there can be something common about them. And finally, there can't be more than one "greatest" of anything. Otherwise, that's a great question.
202
The factors of 5 are 1 and 5. For them to be common, they need to be compared to another set of factors.
4
It is six.
The greatest common factor is 15
Any consecutive even numbers.
denominator
27 factors to [3 3 3] 117 factors to [3 3 13] common factors are [3 3] = 9■
121: 11-11 132: 2-2-3-11 Great common factor: 11 Method(s) used: # (used) The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
The factors of 65 are:1, 5, 13, 65The factors of 117 are:1, 3, 9, 13, 39, 117The common factor that is great than 10 is: 13