Factor 24e + 32f using the GCF.

1 answer

To factor the expression 24e+32f using the greatest common factor (GCF), we first need to determine the GCF of the coefficients:

  1. Identify the coefficients: The coefficients are 24 and 32.

  2. Find the GCF of 24 and 32:

    • The prime factorization of 24 is 23×3.
    • The prime factorization of 32 is 25.
    • The common factors are 2. The minimum exponent of 2 in both factorizations is 3.
    • Thus, GCF(24,32)=23=8.
  3. Factor out the GCF:

    • Since the GCF is 8, we can factor it out of the expression: 24e+32f=8(3e+4f)

Therefore, the factored form of 24e+32f is: 8(3e+4f)