Sharps:

The first key is the key of C - no sharps and no flats.

Second is the key of G - one sharp - F

Third is the key of D - two sharps - D and F

Fourth is the key of A -three sharps - C, F, and G

Fifth is the key of E - four sharps - C, D, F, and G

Sixth is the key of B - five sharps -  A, C, D, F, and G

Seventh is the key of F  - six sharps, - A, C, D, E, F, and G

Eighth is the key of C - seven sharps - A, B, C, D, E, F, and G

Next come the flats:

First is the key of C - no sharps, no flats

Second is the key of F - one flat - B

Third is the key of B flat - two flats - B and E

Fourth is the key of E flat - three flats - A, B, and E

Fifth is the key of A flat - four flats - A, B, D, and E

Sixth is the key of D flat - five flats - G, A, B, D, and E

Seventh is the key of G flat -six flats - G, A, B, C, D, and E

Eighth is the key of C flat-seven flats- A, B, C, D, E, F, and G

Those are all the major keys.  Notice the pattern of whole-steps and half-steps for each major key.  The pattern is the same for each key.