Drag each pair of numbers to show if their greatest common factor (GCF) is less than 3, equal to 3, or greater than 3.
6 and 27
4 and 12
12 and 13
3 and 6
6 and 18
12 and 21
GCF is less than 3.
GCF is equal to 3.
GCF is greater than 3.
What is the greatest common factor (GCF) of each pair of numbers?
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Let’s find the GCF for each pair of numbers:
1. 6 and 27
– Factors of 6: 1, 2, 3, 6
– Factors of 27: 1, 3, 9, 27
– GCF: 3 (Equal to 3)
2. 4 and 12
– Factors of 4: 1, 2, 4
– Factors of 12: 1, 2, 3, 4, 6, 12
– GCF: 4 (Greater than 3)
3. 12 and 13
– Factors of 12: 1, 2, 3, 4, 6, 12
– Factors of 13: 1, 13 (13 is prime)
– GCF: 1 (Less than 3)
4. 3 and 6
– Factors of 3: 1, 3
– Factors of 6: 1, 2, 3, 6
– GCF: 3 (Equal to 3)
5. 6 and 18
– Factors of 6: 1, 2, 3, 6
– Factors of 18: 1, 2, 3, 6, 9, 18