What is the gcf of 30 and 54?

To find the greatest common factor (GCF) of 30 and 54, we can use the prime factorization method.

• Prime factorization of 30: 2 x 3 x 5
• Prime factorization of 54: 2 x 3 x 3 x 3 (or 2 x 3³)

The common prime factors are 2 and 3. The lowest power of 2 that appears in both factorizations is 2¹. The lowest power of 3 that appears in both factorizations is 3¹.

Therefore, the GCF of 30 and 54 is 2 x 3 = $\boxed{6}$