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GCF of

0 votes

170, 238? 

asked Jul 21, 2014 in PRE-ALGEBRA by anonymous

2 Answers

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The GCF is the product of the common prime factors in each number.

Factor each monomial and Circle the common prime factors.

image

The product of common prime factors, 2•17 or 34 is called the greatest common factor of 170 and 238.

 

answered Jul 21, 2014 by joly Scholar
0 votes
Here are two more methods to find the GCF
 
Method 2: Find all factors of both numbers, pick the largest common one: 
170: 1,2,5,10,17,34,85,170 
238:1,2,7,14,17,34,119,238 
Biggest one is 34. 
 
Third method: subtract the smaller one from the bigger one until the pair is the same number. 
238- 170= 68 
New pair is 170,68. 
170-68=102. 
New pair is 102,68. 
102-68 = 34. 
New pair is 68,34. 
68-34=34. 
34 is the GCF.
 
answered Jul 21, 2014 by anonymous

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