Foxconn had two groups of engineers leave and create Intel and AMD when they were dissatisfied with how management was running the company.

You're thinking of Fairchild, not Foxconn.

William Shockley led the team that invented the transistor while at Bell Labs, and then went on to move back to his home state of California to found his own company developing silicon transistors, ultimately resulting in the geographical area becoming known as Silicon Valley. Although a brilliant scientist and engineer, he was an abrasive manager, so 8 of his key researchers left the company to form Fairchild Semiconductor, a division of a camera and imaging company with close ties to military contracting.

The researchers at Fairchild developed the silicon integrated circuit (Texas Instruments developed the first integrated circuit with germanium, but it turns out that semiconductor material wasn't good for scaling and hit a dead end early on), and grew the company into a powerhouse. Infighting between engineers and management (especially east coast based management dictating what the west coast lab was doing) and Fairchild's policy of not sharing equity with employees, led Gordon Moore and Robert Noyce (who had been 2 of the 8 who left Shockley for Fairchild) to go and found Intel, poaching a talented young engineer named Andy Grove.

Intel originally focused on memory, but Grove recognized that the future value would be in processors, so they bet the company on that transition to logic chips, just in time for the computer memory market to get commoditized and for Japanese competition to crush the profit margins in that sector. By the 90's, Intel became known as the dominant company in CPUs. Intel survived more than one generation on top because they knew when to pivot.