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How can you use the prime factorization of two numbers to find their great common factor?
Wiki User
∙ 12y ago
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
Wiki User
∙ 12y ago
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Is great of common factors or more numbers called?
The greatest of common factors of two or more numbers is called the greatest common factor, or 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.
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.
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.
What Great common factor of 40 and 48?
The GCF is 8.
What pair of numbers has a great common factor of 2?
Any consecutive even numbers.
Is great of common factors or more numbers called?
The greatest of common factors of two or more numbers is called the greatest common factor, or GCF.
What is great common factor in mathematics?
The greatest common factor, or GCF, is the largest integer that divides evenly into two or more given numbers with no remainder.
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.
What is the GCF of 75 and 30?
The greatest common factor of 30 and 75 is 15.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 30: 1, 2, 3, 5, 6, 10, 15Factors of 75: 1, 3, 5, 15, 25The greatest common factor is 15.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.30=2*3*575=3*5*53*5=1530 and 75 share one 3 and one 5. Therefore, the greatest common factor is 15.
Find the least great factor?
In math, there is a least common multiple and a greatest common factor. These terms are used with two or more numbers. "Least" refers to lowest and "greatest" refers to largest. A "least great factor" would mean something like the smallest large factor.
What is the greatest common factor of 72 and 54?
The greatest common factor of 54 and 72 is 18.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 54: 1, 2, 3, 6, 9, 18, 27Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 36The greatest common factor is 18.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.54=2*3*3*372=2*2*2*3*32*3*3=1854 and 72 share one 2 and two 3's. Therefore, the greatest common factor is 18.It is 18
What is the great common factor 27 117 using prime factorization?
27 factors to [3 3 3] 117 factors to [3 3 13] common factors are [3 3] = 9■
Which pair of numbers that has a great common factor that is a prime number 48 90 105 and 56?
56 and 105
What is the gcf of 50 and 96?
The greatest common factor of 50 and 96 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 50: 1, 2, 5, 10, 25Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48The greatest common factor of 50 and 96 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.50: 2*5*596: 2*2*2*2*2*2*350 and 96 share one 2 as a prime factor. Therefore, the greatest common factor is 2.
What is a great common devisor?
The greatest common divisor is another name for the greatest common factor (GCF) and refers to the largest number that will divide into two or more numbers evenly with no remainder.
What is the common factor and the greatest common factor of 24 and 30?
The greatest common factor of 24 and 30 is 6Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 24: 1, 2, 3, 4, 6, 8, 12Factors of 30: 1, 2, 3, 5, 6, 10, 15The greatest common factor is 6.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.24=2*2*2*330=2*3*52*3=624 and 36 share one two and one three. Therefore, the greatest common factor is 6.
