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If there's only one prime common to the numbers, that's the GCF. If there's more than one, multiply them together. That's the GCF.

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Q: How is the greatest common factor of two numbers found if you know the prime common to the numbers?
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What is the GCF for 14?

There is no common factor for one number. A common factor can be found between one or more numbers. For example, the GCF of 30 and 48 is 6.


Lowest common multiples for 12 and 14?

168 Actually, since the two numbers share a common factor of 2, you are only required to find 2X6X7, which is 84. This is the first number in which both 12 and 14 can be found as factors.


What is the LCM of 30 and 35?

5 or 1 5 would be the greatest common factor (GCF) but the LCM (Least Common Multiple) is found by either listing factors of both numbers, or by prime factorization. The prime factorization method: 30 = 2*3*5 35 = 5*7 So the LCM = 2*3*5*7 = 210 Note that 210/30 = 7 and 210/35 = 6 so both numbers, 30 and 35 are factors of 210. The listing method: 30,60,90,120,150,180,210 35,70,105,140,175,210 So 210 is the first (least) number that is a multiple of 30 and 35


What is the greatest common factor of 210 and 490?

The greatest common factor of two or more numbers can be found by prime factorization method.In this method each number is expressed as the product of prime factors and then we look for what is common?P.F. of 210 = 2 x 3 x 5 x 7P.F. of 490 = 2 x 5 x 7 x 7As we can see that 2 x 5 x 7 is the greatest number which is common in P.F. of both numbers.So, GCF(210, 490) = 2 x 5 x 7 = 70.Another method of finding GCF is by applying Euclid's Division Lemma:Statement of Euclid's Lemma: Given positive integers a and b(a>b), there exist unique integers q and r such that: a = bq + r.Now how we apply Euclid's division lemma?First of all the lemma is applied for the given two numbers.490 = 210 x 2 + 70.If remainder is not zero then the divisor becomes dividend and the remainder becomes divisor for the next step, the process is continued till remainder obtained is not zero.70 = 210 x 3 + 0.(Remainder is zero)The last divisor is the GCF. So, GCF is 70.


How do you factor the trinomial x2 - 15x plus 54?

(x-6)(x-9) I did that by factoring 54 until I found two numbers that added up to 15.

Related questions

Greatest common factor of 17 68 85?

The greatest common factor is found from two numbers, as only one is provided, this question is unanswerable.


Can a greatest common factor always be found for a set of whole numbers?

yes


What is the greatest common factor of 10?

The greatest common factor can only be found if there are two or more numbers. The factors of 10 are 1, 2, 5, and 10.


Why can a greatest common factor always be found for a set of whole numbers?

Because every set of whole numbers has a GCF.


How do you know when you have found the Greatest common factor?

there is no highest common factor


What is the greatest common factor of 20?

A single number cannot have a greatest common factor because "common" refers to factors that two or more numbers have in common. You have only one number.


What is the greatest common factor of 81 and 90?

The GCF of 81 and 90 is: 9Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Method:One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 81 are 1, 3, 9, 27, and 81.The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.The common factors are 1, 3, and 9. Therefore, the greatest common factor is 9.


What is the gcf of 63 and 3?

In math the GCF of the numbers 3 and 63 is three. In mathematics the GCF is the greatest common factor of two or more numbers. The GCF can be found by listing the prime numbers for each number and then multiplying the common prime numbers.


How do you find the GCF of each set of numbers by using prime factors 10 and 25?

Greatest Common Factor is : the type of numbers that can be found on a number its kinda like skip counting!


What is the greatest common factor of 720 and 1000?

The greatest common factor can be found by factorizing all numbers and find the common factors. The product of these factors is the greatest common factor.128 = 2*2*2*2*2*2*21000 = 2*2*2*5*5*5The common factors are:2*2*2 Which means the greatest common factor is:2*2*2 = 8


Can a greatest common factor be found in every whole number?

No not always. Love you


Where to find greatest common factor website?

You already found it right here.