GCF of 42,70

Answer 1

To find the greatest common factor (GCF) of the numbers 42 and 70, we can start by determining their prime factorizations:

• The prime factorization of 42 is \( 2 \times 3 \times 7 \).
• The prime factorization of 70 is \( 2 \times 5 \times 7 \).

Next, we identify the common prime factors in both factorizations. The common factors are:

• \( 2 \)
• \( 7 \)

Now, we multiply these common prime factors together to find the GCF:

\[ GCF = 2 \times 7 = 14 \]

Thus, the GCF of 42 and 70 is 14.