19. Find the greatest common factor a) 6 and 24
Factor of 6
Factor of 24
Greatest common factor
b) 10 and 25
Factor of 10
Factor of 25
Greatest common factor
c) 16 and 40
Factor of 16
Factor of 40
Greatest common factor
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Answers
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The factors of 8 are: 1, 2, 4, 8
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 20 are: 1, 2, 4, 5, 10, 20
Then the greatest common factor is 4.
Example: Find the GCF of 18 and 27
The factors of 18 are 1, 2, 3, 6, 9, 18.
The factors of 27 are 1, 3, 9, 27.
The common factors of 18 and 27 are 1, 3 and 9.
The greatest common factor of 18 and 27 is 9.
Example: Find the GCF of 20, 50 and 120
The factors of 20 are 1, 2, 4, 5, 10, 20.
The factors of 50 are 1, 2, 5, 10, 25, 50.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
The common factors of 20, 50 and 120 are 1, 2, 5 and 10. (Include only the factors common to all three numbers.)
The greatest common factor of 20, 50 and 120 is 10.
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