The common factors of 30 and 40 are 1, 2, 5, 10
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Factors of 40: 1,2,4,5,8,10,20,40 1 x 40 2 x 20 4 x 10 5 x 8 Factors of 30: 1,2,3,5,6,10,15,30 1 x 30 2 x 15 3 x 10 5 x 6 Common factors: 1, 2 5, 10 10 is the highest common factor.
The factors of 40 are 1,2,4,5,8,10,20 and 40. For them to be common, they need to be compared to another set of factors.
Since 40 is a factor of 120, all of its factors are common.
30 - 1,2,3,5,6,10,15,3040 - 1,2,4,5,8,10,20,40
The Greatest Common Factor of 30, 40: 10