How do you find the GCF and LCM of a number?

Question

the numbers are 32 AND 56???

PLEASE HELP MEE!!!!!!!

Answer 1

For the GCF:

Divide each number using only prime numbers; until you cannot divide it any more:

32 /2 (the result is written on the next line)

16 /2

8/2

4/2

2/2

1

56/2

28/2

14/2

7/7

1

From each number; pick the divisors that are repeated on both of them; but with the lowest power; and multiply them.

32 = 2X2X2X2X2

56 = 2X2X2X7

THE GCF in this case is 2X2X2 = 8  (the seven is not used because it is not commmon to both numbers; and you take the lowest power of 2 that appears; in this case 2^3).

LCM:

Again; find all the prime factors for both numbers; as you did for the GFC:

32 = 2x2x2x2x2

56 = 2x2x2x7

Multiply all the factor for all numbers; but on the ones that are common, take only the one that appears WITH THE GREATEST POWER; in this case 2^5

2x2x2x2x2x7 = 224

Hope it works for you

Answer 2

32 = 2 * 2 * 2 * 2 * 2

56 = 2 * 2 * 2 *  7

GCF = 2 * 2 *  2

all common factors

LCM = 2 * 2 * 2 * 2 * 2 * 7