The greatest common factor of the numbers 30 and 72 is 6.
Factors of 72: 1 2 3 4 6 8 9 12 18 24 36 72
Factors of 30: 1 2 3 5 6 10 15 30
The GCF of 72 and 30 is 6
One method would be to write down the factors of the lower number 30:
1,30,2,15,3,10,5,6.
Put them in descending order:
30,15,10,6,5,3,2,1.
Then starting from the left ask, "does this number divide into the higher number (72) a whole number of times?"
30 doesn't, 15 doesn't, 10 doesn't, 6 does!
So 6 is the highest common factor.
(Note: 6 goes into 72 twelve times and into 30 five times).
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 72 are:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The common factors are:
1, 2, 3, 6
The Greatest Common Factor (GCF) is:
6
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GCF of 12, 30, and 72 is 6
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