Method 1:
\List the factors of each number.
\Factors of 34: 2, 17, 34
\Factors of 38: 2, 19, 38
\Identify the greatest common factor.
\The greatest common factor of 34 and 38 is 2.
\The GCF is 2. So, the numbers are not relatively prime.
Method 2:
\Write the prime factorization of each number.
\34 = 2 × 17.
\38 = 2 × 19.
\The GCF is the product of the common prime factors in each number.
\GCF = 2.
\The greatest common factor of 34 and 38 is 2.
\The GCF is 2. So, the numbers are not relatively prime.
The greatest common factor of 34 and 38 is 2.
\The GCF is 2. So, the numbers are not relatively prime.