![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Method 1:
\List the factors of each number.
\Factors of 64 : 2, 4, 8, 16, 32, 64
\Factors of 144 : 2, 3, 4, 6, 8, 9, 12 16, 18, 36, 72, 144
\Identify the greatest common factor.
\The greatest common factor of 64 and 144 is 16.
\The GCF is 16. So, the numbers are not relatively prime.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Method 2:
\Write the prime factorization of each number.
\64 = 2 × 2 × 2 × 2 × 2 × 2.
\144 = 2 × 2 × 2 × 2 × 3 × 3.
\The GCF is the product of the common prime factors in each number.
\GCF = 2 × 2 × 2 × 2 = 16.
\The greatest common factor of 64 and 144 is 16.
\The GCF is 16. So, the numbers are not relatively prime.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The greatest common factor of 64 and 144 is 16.So, the numbers are not relatively prime.