find the greatest common factor of 42, 28, and 70.
find the greatest common factor of 42, 28, and 70.
Answer
Explanation:
Step1: Prime - factorize the numbers
$42 = 2\times3\times7$ $28 = 2\times2\times7$ $70 = 2\times5\times7$
Step2: Identify common prime factors
The common prime factors are 2 and 7.
Step3: Calculate the GCF
The GCF is the product of the common prime factors, so $GCF(42,28,70)=2\times7 = 14$.
Answer:
14