![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Method 1:
\List the factors of each number.
\Factors of 224 : 2, 4, 7, 8, 14, 16, 28, 32, 56 ,112
\Factors of 243 : 3 , 9, 27, 81 , 243
\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.
\224 = 2 × 2 × 2 × 2 × 2 × 7.
\243 = 3 × 3 × 3 × 3 × 3.
\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.