* First rise in U.S. oil rig count since December - Baker Hughes
* Tame U.S. jobs and economic data cools Sept rate hike bets
* Gasoline futures jump 1.3 pct on expected demand
* Some caution prevails over long July 4 weekend, Greece and Iran (Updates prices to settlement)
By Barani Krishnan
NEW YORK, July 2 (Reuters) - Crude oil prices ended little changed on Thursday as the first weekly gain in the U.S. rig count this year pared earlier gains.
Pulling crude futures off highs was the latest data on the U.S. oil rig count from Baker Hughes. The firm said the number of rigs drilling for oil rose by 12 this week, the first rise since December. RIG/U
Oil was lifted early when tame U.S. jobs and economic data signalled the Federal Reserve might be less hasty to raise interest rates and as a surge in gasoline futures drove expectations for more crude demand.
But with the Greek debt crisis unresolved and Iran nuclear talks ongoing, coupled with Friday's Fourth of July holiday making for a longer-than-usual weekend, some caution prevailed, limiting the rally. ID:nL1N0ZG327 ID:nL8N0ZH1SF
"The momentum for crude is being washed out by the rig count number showing the first rise this year, after the weaker-than-expected jobs report had pushed crude up on the expectation that maybe the Federal Reserve would delay raising interest rates," said Phil Flynn, analyst at Price Futures Group in Chicago.
The dollar slipped against the euro EUR= after U.S. jobs growth slowed in June and factory orders fell in May, tempering expectations for a September interest rate hike. A softer dollar makes oil, denominated in the greenback, more affordable to users of the euro. ID:nL1N0ZI0OH ID:nL1N0ZH2QP FRX/
Brent crude LCOc1 rose 6 cents to settle at $62.07 a barrel, after trading from $61.90 to $63.20. Prices turned lower in post-settlement trading. Brent fell 2.5 percent on Wednesday.
U.S. crude CLc1 dipped 3 cents to settle at $56.93, trading from $56.65 to $57.95. It tumbled 4 percent in the previous session, the most since April, after a surprise inventory build last week. EIA/S
RBOB gasoline futures RBc1 settled 1.3 percent higher ahead of expected holiday demand in the United States. Ultra-low sulfur diesel HOc1 managed a slight gain at settlement, but turned lower in post-settlement trading.
Refining margins, or cracks, for both gasoline and diesel rose too, pulling along crude prices on expectations of more U.S. summer driving demand.
"RBOB is very strong this morning. Brent and WTI are going for the ride," said Scott Shelton, a commodities specialist in Durham, North Carolina, for broker ICAP.