Question

Find the Common factors of:

a) 35 and 50
b) 56 and 120
​

Answer 1

Answer:

1 and 5

Step-by-step explanation:

Find the factors of both numbers

35-1,5,7,35

50-1,2,5,10,25,50

Then see what is common

1 and 5 are common and nothing else factor comes in both the number

Answer 2

a) 35 and 50

35 = 5 × 7

$50 = 2 \times {5}^{2}$

Common factors of 35 and 50 = 5

b) 56 and 120

$56 = {2}^{3} \times 7$

$120 = {2}^{3} \times 3 \times 5$

Common factors of 56 and 120 is 2³ = 8