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What is the greatest common factor of 30 and 45. Use lists of factors to find the answer.?
Wiki User
∙ 6y ago
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are:
1, 3, 5, 9, 15, 45
The common factors are:
1, 3, 5, 15
The Greatest Common Factor:
GCF = 15
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoGCF(30, 45) = 15.
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What are factor lists?
Not to overstate the obvious, but factor lists are lists of factors. Once you have found all the factors of a number, it is customary to list them from least to greatest.
How can you find the common factors and the greatest common factor of two numbers?
The factors of 30 are:1, 2, 3, 5, 6, 10, 15, 30The factors of 42 are:1, 2, 3, 6, 7, 14, 21, 42The common factors are:1, 2, 3, 6The Greatest Common Factor:GCF = 6
What is the relationship between common factors and greatest common factors?
Common factors are factors that are shared by a given set of numbers, usually positive integers. Greatest common factors (sometimes abbreviated to GCFs) are the factors in these given sets that have the greatest value out of all common factors. Example: Factors of 9: 1, 3, 9 Factors of 15: 1, 3, 5, 15 The common factors of 9 and 15: 1, 3 The GCF: 3
What is the GCF of 51 and 85 using lists of factror?
The factors of 51 are: 1, 3, 17, 51 The factors of 85 are: 1, 5, 17, 85 The common factors are: 1, 17 The Greatest Common Factor: GCF = 17
What is the definition of GCF?
The Greatest Common Factor (GCF) is the largest factor common to two or more numbers. For example, 17 is the GCF of 34, 51, and 102 because it is the largest number that is a factor common to all three numbers.The GCF, or Greatest Common Factor, is the largest positive integer that can be evenly divided into all the numbers of a given set.
Why does the listing method always works to find the greatest common factor?
The greatest common factor of two numbers has to show up on the lists of factors of both numbers.
What are factor lists?
Not to overstate the obvious, but factor lists are lists of factors. Once you have found all the factors of a number, it is customary to list them from least to greatest.
What is the greatest common factor of and?
List the factors of each number. The largest number that appears on both lists is the GCF.
What is the meaning of greatest common factor?
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.
What is the GCF of 45 and 60 with work?
Factors of 45 are: 1,3,5,9,15,45 Factors of 60 are: 1,2,3,4,5,6,10,12,15,20,30,60 The greatest common factor is 15 as seen in the above lists
What is the greatest common factor of 42 and 54?
The GCF of 45 and 54 is 6. The factors of 42 are 1,2,3,6, and 7 because these are the only numbers that will divide evenly into 42 with no remainder. The factors of 54 are 1,2,3,6, and 9. The common factors of these two numbers are 1,2,3, and 6 because they appear in both lists of factors. Of these common factors, 6 is the largest number. Therefore the greatest common factor for 42 and 54 is 6.
What is the true meaning of greatest common factor?
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.
How do you find a least common factor and the greatest common factor?
The least common factor of two whole numbers is always ' 1 '. This is a big partof the reason why you'll never be asked to find it.To find the greatest common factor:-- List all the factors of the first number.-- List all the factors of the second number.-- Create another list, with all of the factors that are on both of the first two lists.-- The greatest number on the new list is the greatest common factor of the two original numbers.
What is the greatest common factor of 52 and 84?
Common factors are any numbers that are factors of each. The greatest common factor therefore is the largest number that appears in both lists. Factors of 52 1, 2, 4, 13, 26, 52 Factors of 84 1, 2, 3, 4, 6, 7, 12, 14, 28, 42, 84 Common factors would be - 4, 2, and 1 Therefore the greatest common factor is 4.
What is the GCF of four eight and thirty-two?
factors of 48: 1,2,4,6,8,12,24,48 factors of 32: 1,2,4,8,16,32 8 is the greatest number which is in both of the above lists, so the greatest common factor is 8.
What is the highest common factor of 119 and 259?
The greatest (or highest) common factor of 119 and 259 is the largest number that is found on both the lists of their factors.The factors of 119 are:1, 7, 17, 119The factors of 259 are:1, 7, 37, 259The common factors are:1, 7The Greatest Common Factor:GCF = 7
How we will get common factor of any number?
Common factors result from comparing the lists of factors of at least two integers and selecting the ones that are on both lists.
