Playing with numbers — Maths STD 6 — Question

35 and 50
35 = 1 × 35
35 = 5 × 7 i.e., the factors of 35 are 1, 5, 7 and 35.
Again, 50 = 1 × 50
50 = 2 × 25
50 = 5 × 10
i.e., the factors of 50 are 1, 2, 5, 10, 25 and 50.
Therefore, the common factors of the two numbers are 1 and 5.