can I use the intel Core I7-14700K with this motherboard and have no issues with compatibility?

Yes, this CPU is listed on their compatibility list (see other previously answered question)

Does this support Intel 14th Gen Processors?

According to their website, the answer is yes. Make sure to check their CPU support list from gigabyte to make sure the CPU you choose is on that list. I am currently looking at the Intel Core i9-14900K - Core i9 14th Gen 24-Core cpu for this board and it is on the support list.

Questions & Answers: GIGABYTE Z790 AORUS ELITE AX ICE LGA 1700 Intel Z790 X ATX Motherboard with DDR5, 4* M.2, PCIe 5.0, USB 3.2 Type-C, Wi-Fi 6E, 2.5GbE LAN, Q-Flash Plus, EZ-Latch Plus

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GIGABYTE Z790 AORUS ELITE AX ICE LGA 1700 Intel Z790 X ATX Motherboard with DDR5, 4* M.2, PCIe 5.0, USB 3.2 Type-C, Wi-Fi 6E, 2.5GbE LAN, Q-Flash Plus, EZ-Latch Plus

Intel LGA 1700 Socket: Support 13th and 12th Gen Series Processors
Dual Channel DDR5: 4*DIMMs with XMP 3.0 memory module support
Commanding Power Design: Twin 16+1+2 Phases Digital VRM Solution
Cutting-Edge Thermal Design: VRM Thermal Armor Advanced & M.2 Thermal Guard
Ultra-Fast Storage: 4*PCIe 4.0 x4 M.2 Connectors
Fast Networks: 2.5GbE LAN & Wi-Fi 6E 802.11ax
Extended Connectivity: PCIe 5.0, DP, HDMI, Front & Rear USB-C 20Gb/s
Fine Tuning Features: RGB FUSION 2.0, Supports Addressable LED & RGB LED Strips, Smart Fan 6, Q-Flash Plus Update BIOS without installing CPU, Memory, and GPU

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