![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Method 1:
\List the factors of each number.
\Factors of 110: 2, 5, 10 ,11, 22, 55, 110
\Factors of 77: 7, 11, 77
\Identify the greatest common factor.
\The greatest common factor of 77 and 110 is 11.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Method 2:
\Write the prime factorization of each number.
\110 = 2 × 5 × 11.
\77= 7 × 11.
\The GCF is the product of the common prime factors in each number.
\GCF = 11.
\ The greatest common factor of 77 and 110 is 11.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The greatest common factor of 77 and 110 is 11.