Example: 30 and 42
List the factors.
1, 2, 3, 5, 6, 10, 15, 30
1, 2, 3, 6, 7, 14, 21, 42
Select the largest number that appears on both lists.
The GCF is 6.
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.
It doesn't matter what you use, you still need at least two numbers to find a GCF. If that's 3 and 6, the GCF is 3.
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.
You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.
Yes, you can.
i dont know what that means does anyone get this"find the greatest common factor of the numbers using prime factorization We'll be eager to jump on it as soon as you give us the numbers.
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
The Greatest Common Factor (GCF) is: 12
The greatest common factor (GCF) is 5.
The greatest common factor (GCF) is 4.
The greatest common factor (GCF) is 3.
The greatest common factor (GCF) is 2.
The only factor they have in common is 1. It has to be the greatest.
There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers.
In general, all common factors of two (or more) numbers are factors of its GREATEST common factor. Thus, you need to start by using the methods you were taught, to find the greatest common factor.
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.