write down all the factors of 45 and 70
Answers
Answer:
GCF of 45 and 70
The gcf of 45 and 70 is the largest positive integer that divides the numbers 45 and 70 without a remainder. Spelled out, it is the greatest common factor of 45 and 70. Here you can find the gcf of 45 and 70, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the gcf of 45 and 70, but also that of three or more integers including forty-five and seventy for example. Keep reading to learn everything about the gcf (45,70) and the terms related to it.
What is the GCF of 45 and 70
If you just want to know what is the greatest common factor of 45 and 70, it is 5. Usually, this is written as
gcf(45,70) = 5
The gcf of 45 and 70 can be obtained like this:
The factors of 45 are 45, 15, 9, 5, 3, 1.
The factors of 70 are 70, 35, 14, 10, 7, 5, 2, 1.
The common factors of 45 and 70 are 5, 1, intersecting the two sets above.
In the intersection factors of 45 ∩ factors of 70 the greatest element is 5.
Therefore, the greatest common factor of 45 and 70 is 5.
Taking the above into account you also know how to find all the common factors of 45 and 70, not just the greatest. In the next section we show you how to calculate the gcf of forty-five and seventy by means of two more methods.
How to find the GCF of 45 and 70
The greatest common factor of 45 and 70 can be computed by using the least common multiple aka lcm of 45 and 70. This is the easiest approach:
gcf (45,70) = \frac{45 \times 70}{lcm(45,70)} = \frac{3150}{630}
lcm(45,70)
45×70
=
630
3150
= 5
Alternatively, the gcf of 45 and 70 can be found using the prime factorization of 45 and 70:
The prime factorization of 45 is: 3 x 3 x 5
The prime factorization of 70 is: 2 x 5 x 7
The prime factors and multiplicities 45 and 70 have in common are: 5
5 is the gcf of 45 and 70
gcf(45,70) = 5
In any case, the easiest way to compute the gcf of two numbers like 45 and 70 is by using our calculator below. Note that it can also compute the gcf of more than two numbers, separated by a comma. For example, enter 45,70. The calculation is conducted automatically.
Integers:
5,10,25,60,100
Answer:
Factors of 70 = 1, 2, 5, 7, 10, 14, 35,70
factors of 45 = 1,3,5,9,15,45