Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
it is 9.
it is 14
It is 5
Prime factorization is a powerful tool when finding the lowest common multiple for use in fractions and greatest common factor when reducing fractions. It is used in algebra to find the possible factoring combinations when factoring polynomials.
By finding the factors in both numbers and then finding the one that is greatest in common. For example the G.C.F for 45 and 36 is 9.
The greatest common factor of 55 and 77 is 11. The prime factorization of 55 is 5*11. The prime factorization of 77 is 7*11. The greatest common factor is 11.
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.
The prime factorization of 2456 is 2 x 2 x 2 x 307. There is not a greatest common factor. 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. Examples: The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factors it has in common with 2456 are 2 and 2, so the greatest common factor is 2 x 2 = 4. The prime factorization of 921 is 3 x 307. The prime factors that it has in common with 2456 is 307, so the greatest common factor is 307.
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
The greatest common factor of 20 and 555 is 5. The prime factorization of 20 is 2*2*5 The prime factorization of 555 is 3*5*37 So the greatest common factor is 5.
That doesn't really exist. A factor tree is a way to notate the process of finding the prime factorization of a given number. The greatest common factor, or GCF, is the largest number that can divide evenly with no remainder into a given set of numbers.
Finding the greatest common factor helps when you are reducing fractions.
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 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.
the greatest com man factor is 33
1 is the greatest and only common factor of 15 and 38. The prime factorization of 15 is 3*5. The prime factorization of 38 is 2*19
The GCF of 9, 15, and 18 is 3. The prime factorization of 9 is 3*3. The prime factorization of 15 is 3*5 The prime factorization of 18 is 2*3*3 So the greatest common factor is 3.