The greatest common factor (GCF) is the largest number that evenly divides all the given numbers. In this case, the factors of 25 are 1, 5, and 25. The factors of 15 are 1, 3, 5, and 15. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The factors of 35 are 1, 5, 7, and 35. The only number that is common to all four sets of factors is 5. Therefore, the GCF of 25, 15, 100, and 35 is 5.