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What is the greatest common factor of 121 and 132?
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.
What is the greatest common factor of 6 and 8?
The greatest common factor (GCF) of two numbers is the largest number that divides both numbers evenly. To find the GCF of 6 and 8, we need to determine the common factors of both numbers. The factors of 6 are 1, 2, 3, and 6, while the factors of 8 are 1, 2, 4, and 8. The largest number that is common to both sets of factors is 2, making the GCF of 6 and 8 equal to 2.
How can you use the prime factorization of two numbers to find their great 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
What is the greatest common factor of 16 and 18?
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.
Is the greatest common factor of two numbers always greater than 1?
No, a GCF is not always great than one. For example the GCF of 7 and 3 is 1.
