Find the natural number whose prime factorization is given 2

Find the natural number whose prime factorization is given. 2 middot 3 middot 5^7 find the GCF of the given numbers. (If the numbers are relatively prime, enter 1.) 14 and 196

Solution

3 ) Given that

2 . 3 . 5² = 2 . 3 . 25

= 6 . 25

= 150

Therefore,

Natural number = 150

4 ) GCF of 14 and 196

Factors of 14 = 1 , 2 , 7 , 14

Factors of 196 = 1 , 2 , 4 , 7 , 14 , 28 ,196

Common factors of 14 and 196 = 1 , 2 , 7 , 14

Hence ,

GCF( Greatest Common Factor ) = 14

Therefore ,

GCF of 14 and 196 = 14