President-elect Donald Trump met with Apple (AAPL) board member and former Vice President Al Gore at Trump Tower on Monday.

Trump transition spokesman Jason Miller told reporters on Monday that Gore would be meeting with Ivanka Trump to discuss climate change issues. He said Gore would not be meeting with Trump himself. As the former vice president was leaving Trump Tower, however, he mentioned his meeting with Ivanka and said he had a lengthy and very productive session with the president-elect, who has long claimed that climate change is a hoax.

"It was a sincere search for areas of common ground," said Gore, co-director of the Oscar-winning 2006 documentary "Inconvenient Truth," which probed climate change. "I found it an extremely interesting conversation, and to be continued, and I'm just going to leave it at that."

The former vice president joined the Apple board in 2003. As of earlier this year, he owned a little more than 440,000 shares, according to filings.

During an interview with The New York Times, Trump said he told Apple CEO Tim Cook that it would be "a real achievement" for him to get Apple to "build a big plant in the United States." His proposal to lower the business tax rate to 15 percent and allow the one-time repatriation of corporate profits held offshore at a tax rate of 10 percent could make Apple the biggest beneficiary in tech, according to Bernstein analyst Toni Sacconaghi.

—CNBC's Anita Balakrishnan contributed to this report.

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