![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Method 1:
\List the factors of each number.
\Factors of 30: 3, 5, 6, 10, 30
\\
Factors of 35: 5, 7, 35
\Identify the greatest common factor.
\The greatest common factor of 30 and 35 is 5.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Method 2:
\Write the prime factorization of each number.
\30 = 3 × 2 × 5.
\35 = 5 × 7 .
\The GCF is the product of the common prime factors in each number.
\GCF = 5.
\The greatest common factor of 30 and 35 is 5.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The greatest common factor of 30 and 35 is 5.
\\