Find the greatest common factor of 42, 4, and 14.

We found the factors and prime factorization of 42 and 14. The biggest common factor number is the GCF number. So the greatest common factor 42 and 14 is 14.

Step-by-step explanation:

Greatest Common Factor of 42 and 14

Greatest common factor (GCF) of 42 and 14 is 14.

GCF(42,14) = 14

We will now calculate the prime factors of 42 and 14, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 14.

GCF Calculator

Greatest Common Factor of

42

and

14

Calculate GCF

Prime Factorization of 42

Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:

42 = 21 × 31 × 71

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21

Factors of 14

List of positive integer factors of 14 that divides 42 without a remainder.

1, 2, 7

Greatest Common Factor

We found the factors and prime factorization of 42 and 14. The biggest common factor number is the GCF number.

So the greatest common factor 42 and 14 is 14.

Also check out the Least Common Multiple of 42 and 14

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3