Looks like the thinner one is an olive jar and the other one a pickle jar. Can't really see the bottom very well. 30s to 60s.
What is on the bottom of the larger one? Were these dug?
Welcome to the forum. Your jar is probably a mustard or pickle jar , circa 1930 - 1960's as bottlerocket mentioned.Millions of them were made, with it being cracked and the super abundance of availability it would be best to recycle it.