Actually, no. AK-47 is chambered for 7.62 x 39mm
7.62mm=.308
Actual case is shorter, but fatter....
edit additional info:
.308 Winchester energy is slightly less tham 30-06
7.62x39 slightly less than 30-30
.308Win similar to .308 NATO, with slightly different headspacing specs. 308 Win can be loaded to higher pressures than NATO.