Let’s solve each pair step by step to find the Greatest Common Factor (GCF). The GCF is the largest number that divides both numbers in the pair without leaving a remainder.
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Pair 1: 6, 12
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
Common factors: 1, 2, 3, 6 →
GCF = 6
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Pair 2: 8, 12
Factors of 8: 1, 2, 4, 8
Factors of 12: 1, 2, 3, 4, 6, 12
Common factors: 1, 2, 4 →
GCF = 4
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Pair 3: 24, 3
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 3: 1, 3
Common factors: 1, 3 →
GCF = 3
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Pair 4: 24, 3 *(same as above)*
→
GCF = 3
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Pair 5: 6, 4
Factors of 6: 1, 2, 3, 6
Factors of 4: 1, 2, 4
Common factors: 1, 2 →
GCF = 2
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Pair 6: 8, 2
Factors of 8: 1, 2, 4, 8
Factors of 2: 1, 2
Common factors: 1, 2 →
GCF = 2
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Pair 7: 8, 24
Factors of 8: 1, 2, 4, 8
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common factors: 1, 2, 4, 8 →
GCF = 8
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Pair 8: 6, 4 *(same as Pair 5)*
→
GCF = 2
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Pair 9: 24, 2
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 2: 1, 2
Common factors: 1, 2 →
GCF = 2
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Pair 10: 4, 24
Factors of 4: 1, 2, 4
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common factors: 1, 2, 4 →
GCF = 4
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Final Answer:
6, 12 → 6
8, 12 → 4
24, 3 → 3
24, 3 → 3
6, 4 → 2
8, 2 → 2
8, 24 → 8
6, 4 → 2
24, 2 → 2
4, 24 → 4
Parent Tip: Review the logic above to help your child master the concept of finding the gcf worksheet.
