Method 1:
\List the factors of each number.
\Factors of 152 : 2, 4, 8, 19, 38, 76, 152
\Factors of 171: 3 , 9, 19, 57, 171
\Identify the greatest common factor.
\The greatest common factor of 152 and 171 is 19.
\The GCF is 19. So, the numbers are not relatively prime.
Method 2:
\Write the prime factorization of each number.
\152 = 2 × 2 × 2 × 19.
\171 = 3 × 3 × 19.
\The GCF is the product of the common prime factors in each number.
\GCF = 19.
\The greatest common factor of 152 and 171 is 19.
\The GCF is 19. So, the numbers are not relatively prime.
The greatest common factor of 152 and 171 is 19.
\The GCF is 19. So, the numbers are not relatively prime.