what is the gcf of 30 and 54

The greatest common factor (GCF) of 30 and 54 is 6. There are different methods to find the GCF of two numbers, including long division, prime factorization, and Euclidean algorithm. One way to find the GCF of 30 and 54 is to use the prime factorization method. The prime factorization of 30 is 2 × 3 × 5, and the prime factorization of 54 is 2 × 3 × 3 × 3. The common prime factors are 2 and 3, so the GCF is the product of these common factors, which is 2 × 3 = 6. Another way to find the GCF of 30 and 54 is to use the Euclidean algorithm, which involves dividing the larger number by the smaller number and then dividing the divisor by the remainder until the remainder is zero. The last divisor is the GCF.