When choosing a color for your backsplash to complement blue granite countertops, you have several options. Here are a few suggestions:

1. White: A classic choice that works well with any color. A white backsplash will create a clean and timeless look, allowing the blue granite to stand out as the focal point.

2. Gray: Depending on the shade of blue in your granite, a gray backsplash can provide a sophisticated and elegant contrast. Light gray can create a softer look, while dark gray can add depth and drama.

3. Navy: If you want to highlight the blue tones in your granite, a navy backsplash can be a bold choice. It will create a cohesive color palette and add a sense of richness to the overall design.

4. Beige or Cream: Neutral tones like beige or cream can create a warm and inviting atmosphere. They can also provide a subtle contrast to the blue granite without overpowering it.

Remember to consider the overall style and theme of your kitchen as well when choosing the color of your backsplash.