ASAP
Bryson has raspberry scones and blueberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of
raspberry scones and an equal number of blueberry scones. What is the greatest number of bags Bryson can fill? Explain how you know.
There are 34 blueberry scones and 51 raspberry scones
Greatest common factor

Number of bags with raspberry scones and blueberry scones should be equal
The greatest number of bags need to be made where each of them has equal numbers of each scone.

Number of raspberry scones with Bryson = 51

Number of blueberry scones with Bryson = 34

To find the greatest number of bags Bryson can fill with equal number of raspberry and blueberry cones each, we need to find the GCF of the number of blueberry scones and raspberry scones.

Factors of 34 = 1, 2, 17, 34

Factors of 51 = 1, 3, 17, 51

Greatest common factor (GCF) of 34 and 51 = 17

Therefore, the greatest number of bags Bryson can fill with equal number of blueberry scones and raspberry scones = 17 bags