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YES. Prime factorization can be used to get the GCF.
Example:
Prime factorization of:
12 = 2 x 2 x 3
24 = 2 x 2 x 3 x 2
============
GCF=2 x 2 x 3
GCF=12
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∙ 11y ago
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How do you use a factor tree to find the greatest common factor of 88?
A factor tree will show you the prime factorization of 88. Comparing that prime factorization of 88 and another number will you show you the GCF between the two. You need at least two numbers to find a GCF.
How do you use prime factorization find the GCF of two numbers?
The first step of finding the GCF is to split the numbers into their prime factors. For instance, if I wanted to find the GCF of 30 and 105, I would split these up into: 30 = 2x3x5 105 = 3x5x7 The next step would be to identify any common prime factors. In this case both numbers have 3 and 5 as prime factors, so these would be the ones we use. To find the GCF, you simply multiply these two numbers together: 3x5 = 15 So 15 would be the GCF in that case.
What is the least common multiple of 25 and 30?
The LCM of 25 and 30 is: 150The prime factorization of 25 = 5x5The prime factorization of 30 = 2x3x5GCF = 5But, what is the use of calculating GCF here?Answer: If we divide the product of 25 and 30 by GCF then the result is LCM.Product of 25 & 30 = 25x30 = 750So, LCM = 750/5 =150Least Common Multiple (LCM) for 25 30 is 150
How do you use prime factorization to find gcf in numbers with exponents?
24 x 33 x 52 = 10800 22 x 33 x 54 = 67500 Select the lower exponents. 22 x 33 x 52 = 2700, the GCF
What is the prime factorization of 121 use exponents if needed?
121 = 112
What do you use prime factorization for?
To answer GCF and LCM questions.
Use prime factorization to find gcf of 135 and 351?
Prime factorization for 135 = 3 x 3 x 3 x 5Prime factorization for 351 = 3 x 3 x 3 x 13GCF of (135,351) = 27
How can you use prime factorization to determine if two numbers are relatively prime?
Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.
What is the GCF of 56 using Prime Factorization?
Whatever you use, you need at least two numbers to find a GCF.
How can you use the prime factorization of two numbers to determine whether they are relatively prime?
Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.
What is the GCF of 126 using prime factorization?
You need at least two numbers to find a GCF, whichever method you use.
In gcf do you use factors or prime factors?
Either one will work. If you're listing factors, use factors. If you're using prime factorization, use prime factors.
How can you use prime factorization to determine whether two numbers are relatively prime?
If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.
What is the gcf of 40 and 65 use prime factorization?
The prime factorization of 40 is 23 x 5.The prime factorization of 65 is 5 x 13.The greatest common factor of 40 and 65 is 5.
How do you find GCF and LCM?
To find the GCF and the LCM you have to first at least try to use prime factorization. So use factor trees. Or for the LCM find th least common multiples of the number.
What is the least common multiple of 412 24?
Method:For any two numbers a & bLCM(a,b) = Product of a & b/GCF(a,b)We use the method of prime factorization to find GCF:-Prime factorization of 412 = 2x2x103Prime factorization of 24 = 2x2x2x3GCF(412, 24) = 2x2 = 4Product of 412 & 24 = 9888LCM(412, 24) = 9888/4 = 2472
Use prime factorization to find the gcf of 65 and 112?
5 x 13 = 65 2 x 2 x 2 x 2 x 7 = 112 No common prime factors, the GCF is 1.
