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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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Q: Can you use prime factorization fot the gcf?
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Continue Learning about Basic Math

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?

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What is the gcf of 180 and 1750?

The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 180 and 1750, you can use the prime factorization method. The prime factorization of 180 is 2^2 * 3^2 * 5, and the prime factorization of 1750 is 2 * 5^3 * 7. To find the GCF, you take the common prime factors with the lowest exponent, which in this case is 2 * 5 = 10. Therefore, the GCF of 180 and 1750 is 10.