Greatest Common Factors Questions

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One-What is the Greatest Common Factor of 6 and 15? {Find factors that crop up in both numbers 6 and 15}

Factors of 6-1 2 3 and 6 {Four}

Factors of 15-1 3 5 and 15 {Four}

Common Factors {as known as numbers that crop up in both numbers 6 and 15 in this case} and they are 1 and 3 

Greatest Common Factor of 6 and 15 is 3

Two-What is the Greatest Common Factor of 45 and 105 

Factors of 45-1 3 5 9 15 and 45 {Six}

Factors of 105-1 3 5 7 15 21 35 and 105 {Eight}

Common Factors of 45 and 105 {crop up}- 1 3 5 and 15

Greatest Common Factor {GCF} of 45 and 105 is 15

Three-What is the Greatest Common Factor of 24 and 40

Factors of 24-1 2 3 4 6 8 12 and 24 {Eight}

Factors of 40-1 2 4 5 8 10 20 and 40 {Eight}

Common Factors of 24 and 40 {crop up}-1 2 4 and 8 

Greatest Common Factors {GCF} of 24 and 40 is 8

Four-What is the Greatest Common Factor of 27 and 126

Factors of 27-1 3 9 and 27 {Four}

Factors 126-1 2 3 6 9 14 18 21 42 63 and 126 {Eleven}

Common Factors {crop up} of 27 and 126-1 3 and 9 

Greatest Common Factor of 27 and 126 is 9

Five-What is the Greatest Common Factor of 81 and 180

Factors of 81-1 3 9 27 and 81 {Five}

Factors of 180-1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 and 180 {Eighteen}

Common Factors {crop up} of 81 and 180 are 1 3 and 9

Greatest Common Factor of 81 and 180 is 9

Six-What is the Greatest Common Factor of 60 and 225

Factors of 60-1 2 3 4 5 6 10 12 15 20 30 and 60 {Twelve}

Factors of 225-1 3 5 9 15 25 45 75 and 225 {Nine}

Common Factors {crop up} of 60 and 225 are 1 3 5 9 and 15 

Greatest Common Factor of 60 and 225 is 15 

Seven-What is the Greatest Common Factor of 126 and 196 

Factors of 126-1 2 3 6 9 14 18 21 42 63 and 126 {Eleven}

Factors of 196-1 2 4 7 14 28 49 98 and 196 {Nine}

Common Factors {crop up} of 126 and 196 are 1 2 and 14 

Greatest Common Factor of 126 and 196 is 14

Eight-What is the Greatest Common Factor of 180 225 and 270 

Factors of 180-1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 and 180 {Eighteen}

Factors of 225-1 3 5 9 15 25 45 75 and 225 {Nine}

Factors of 270-1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 and 270 {Sixteen}

Common Factors {crop up} of 180 225 and 270 are 1 3 5 9 15 and 45 

Greatest Common Factor of 180 225 and 270 is 15 

Nine-What is the Greatest Common Factor of 72 and 252

Factors of 72-1 2 3 4 6 8 9 12 18 24 36 and 72 {Twelve}

Factors of 252-1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 and 252 {Eighteen}

Common Factors {crop up} of 72 and 252 are 1 2 3 4 6 9 12 18 and 46 

Greatest Common Factor of 72 and 252 is 36

and finally Ten-What is the Greatest Common Factor of 196 and 462

Factors of 196-1 2 4 7 14 28 49 98 and 196 {Nine}

Factors of 462-1 2 3 6 7 11 14 21 22 33 42 66 77 154 321 and 462

Common Factors {crop up} of 196 and 462 are 1 2 7 and 14 

Greatest Common Factor of 196 and 462 is 14  



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