find the GCF (210,360) using the prime factorization method

Question

 Find the GCF (210,360) using the prime factorization method

Answer 1

210=2*3*5*7

360=2*2*2*3*3*5

GCF=2*3*5

GCF=30

Answer 2

210,360=2 x 105,180

              2 x 52,590

              2 x 26295

              3 x 8765

              5 x 1753

 

Answer  2³ x 3 x 5

 

(1753 is a prime number)

Always start multiplying by 2 until you cannot anymore, then go on to the next prime number until you cannot go any further.