what is the gcf of 24 30 48 and 66
Answer (1)
Answer:6Step-by-step explanation:Prime Factorization:24: ( 2^3 \times 3 )30: ( 2 \times 3 \times 5 )48: ( 2^4 \times 3 )66: ( 2 \times 3 \times 11 )Common Factors:The common prime factors are ( 2 ) and ( 3 ).Lowest Powers of Common Factors:For ( 2 ): The lowest power is ( 2^1 ).For ( 3 ): The lowest power is ( 3^1 ).GCF Calculation:Multiply the lowest powers of the common factors: ( 2^1 \times 3^1 = 2 \times 3 = 6 ).So, the GCF of 24, 30, 48, and 66 is 6.
