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.
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.
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
24 x 33 x 52 = 10800 22 x 33 x 54 = 67500 Select the lower exponents. 22 x 33 x 52 = 2700, the GCF
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.
To answer GCF and LCM questions.
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
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.
Whatever you use, you need at least two numbers to find a GCF.
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.
You need at least two numbers to find a GCF, whichever method you use.
Either one will work. If you're listing factors, use factors. If you're using prime factorization, use prime factors.
If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.
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.
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.
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
5 x 13 = 65 2 x 2 x 2 x 2 x 7 = 112 No common prime factors, the GCF is 1.