Q. Find the greatest common factor.2k,10Write your answer as a constant times a product of single variables raised to exponents.__
Find Prime Factorization: First, we need to find the prime factorization of each number.For 2k, since 2 is already a prime number, the factorization is simply 2k.For 10, the prime factorization is 2×5.
Compare Common Factors: Now, we compare the prime factorizations to find the common factors. The number 2 is the only common prime factor between 2k and 10.
Determine Greatest Common Factor: Since 2 is the only common factor and there are no variables in common, the greatest common factor (GCF) is just 2.
Write GCF as Constant: We write the GCF as a constant times a product of single variables raised to exponents. In this case, there are no variables in the GCF, so it is simply the constant 2.