![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Method 1:
\List the factors of each number.
\Factors of 11: 11
\Factors of 51: 3, 17, 51
\Identify the greatest common factor.
\There are no common prime factors.Two numbers always have 1 as a common factor.
\So, the GCF is 1, and the numbers are relatively prime.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Method 2:
\Write the prime factorization of each number.
\11 = 11.
\51 = 3 × 17.
\There are no common prime factors.Two numbers always have 1 as a common factor.
\So, the GCF is 1, and the numbers are relatively prime.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
There are no common prime factors.Two numbers always have 1 as a common factor.So, the GCF is 1, and the numbers are relatively prime.