Method 1:
\List the factors of each number.
\Factors of 121 : 11, 121
\Factors of 280 : 2, 4, 7, 10, 14, 20, 28, 40 ,70, 140, 280
\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.
Method 2:
\Write the prime factorization of each number.
\121 = 11 × 11.
\280 = 2 × 2 × 2 × 5 × 7.
\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.
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.