Theres about 10^24 planets in the observable universe. When you apply all the different factors in the drake equation, the number that can support intelligent life shrinks pretty dramatically.
Like phosphorus. The vast majority of planets supposedly do not have usable phosphorus, as a result life can’t really evolve without this.
Or the water level on a planet. There is a very narrow range of how much water there can be on a planet’s surface. Too much and the entire planet is an ocean. too little and the planet is a desert.
Theres endless other bottlenecks. An intelligent civilization could evolve but if it doesn’t have a geothermically active core, then the crust may not have pockets of elements that can be easily mined to create technology. Or it could have no fossil fuels, which would make it far harder to have an industrial revolution.
Or take humans. We and chimps separated from a common ancestor about 6 million years ago. For the first 3 million years of our divergence, our brains didn’t grow and were stable at about 450cc. However about 3 million years ago, a land bridge in Panama formed between central America and South America. This land bridge changed global climate and weather patterns. This caused far less rainfall in Africa and caused a lot of the forests to fail and become replaced by grasslands. Our ancestors developed bigger brains to cope with this new environment, and over the course of the last 3 million years our brains grew from 450cc to 1400cc. Had there never been a land bridge in panama connecting north America and South America, maybe the climate never would’ve changed in Africa and we’d still be as intelligent as chimpanzees.
10^24 is a big number, but if one filter only has a 10% chance of passing, and another filter only has a 1% chance of passing, etc etc then the more filters you add the more narrow the number of planets that can harbor intelligent life that can create advanced technology. There’s probably lots of other filters we don’t even know about yet or we just take them for granted. Like how our atmosphere has a negative feedback mechanism instead of a positive feedback mechanism like venus and mars had which destroyed the atmosphere capable of supporting life.
The point is that if you have 24 different bottlenecks, and only 10% of planets pass each bottleneck, and those numbers aren’t dependent on each other, that would theoretically mean only 1 planet in the universe is capable of harboring intelligent life.
However another thing to keep in mind is how young the universe is. 13.8 billion years sounds old, but the universe will have stars for 100 trillion years. the universe won’t reach peak life formation years until 1 trillion years from now, when metal rich planets orbiting stable stars are far more common. Also supposedly gamma rays sterilized the universe constantly until 5 billion years ago.
So the fact that intelligent life has evolved so early in the universe could imply that intelligent life will be very common in the universe, its just that the universe is very young and we are among the first ones. Maybe that is the true great filter, how young the universe is.
However even if humans never master FTL travel, we will have probably settled the entire galaxy within a few million years.