2 = 1, 2
3 = 1, 3
5 = 1, 5
The factors are shown above, with only 1 as the Common Factor (CF).
factor both numbers factor 40 into [2 2 2 5] or [2^3 * 5] factor 100 into [2 2 5 5] or [2² * 5²] LCM is the highest power of each common factor 2^3 * 5² = 8 * 25 = 200 ◄
30
150 75, 2 25, 3, 2 5, 5, 3, 2
3 and 2
The prime factors of 600 are 2, 2, 2, 3, 5, and 5. The prime factors of 1350 are 2, 3, 3, 3, 5, and 5. The prime factors they have in common are 2, 3, 5, and 5, so the greatest common factor is 2 x 3 x 5 x 5 = 150.
2 2 2 3 3 5
30 3 10 2 5 3, 2 and 5
whenever you start the factor tree always divide by the lowest number possible first... 2 * 5 * 3 * 3 * 3 = 270 2 = 2 5 = 5 9 = 3 * 3 * 3
2/2/3/3/3/5/7
3, 3, 2, and 5
The prime factors of 720 are 2, 2, 2, 2, 3, 3, and 5. The prime factors of 450 are 2, 3, 3, 5, and 5. The prime factors they have in common are 2, 3, 3, and 5, so the greatest common factor is 2 x 3 x 3 x 5 = 90.
The answer is 30, because it is the largest shared factor.