Find the GCF for the given list \[ 8,44 \]

To find the GCF of 8 and 44, we can start by listing the factors of each number. The factors of 8 are 1, 2, 4, and 8. For 44, the factors are 1, 2, 4, 11, 22, and 44. The greatest common factor that appears in both lists is 4. So, the GCF of 8 and 44 is 4. Now, suppose you need to tackle more numbers and keep the GCF on your radar. Don't forget about prime factorization! Break each number down into its prime factors. For instance, for 8, it's \(2 \times 2 \times 2\) and for 44, it's \(2 \times 2 \times 11\). The common primes give you a visual on what to multiply together for the GCF! If you're interested in diving deeper into the world of factors, try looking into number theory books or online resources. There are plenty of fun math games that can sharpen your skills on GCF and LCM, making math feel less like homework and more like a puzzle to solve!