Alice has 40 red beads and 88 green beads to make necklaces. Each necklace will have red and green beads. Each necklace will have the same number of red beads. Each necklace will have the same number of green beads. She will use all the beads. What is the greatest number of necklaces Alice can make?

As per the given statement: Alice has 40 red beads and 88 green beads to make necklaces.

Also, each necklace will have the same number of red beads and each necklace will have the same number of green beads.

Greatest Common factor (GCF) states that the greatest factor that divides the two numbers.

Using GCF, to find the greatest number of necklace Alice can make.

GCF of 40 and 88:

Factor of 40 are; 1, 2, 4, 8, 10, 20, 40

Factor of 88 are; 1, 2, 4, 8, 11, 88

Common factors of 40 and 88 are: 1, 2, 4, 8

Greatest common factor of 40 and 88 is 8.

therefore, the greatest number of necklaces Alice can make is 8