Answer:
9, 15 (Yes)
12, 18 (NO)
15,27 (YES)
30, 45 (NO)
Explanations:
Note:
The factors of a number are the numbers that can divide it without any remainder
The common factors of two numbers are the numbers that can divide both of them without any remainder
The Greatest Common factor (GCF) is the largest of the common factors
For 9, 15:
factors of 9 = 1, 3, and 9
factors of 15 = 1, 3, 5, and 15
Common Factor = 1 and 3
Greatest Common factor (GCF) = 3
Yes, 3 is the GCF
For 12, 18:
factors of 12 = 1, 2, 3, 4, 6, and 12
Factors of 18 = 1, 2, 3, 6, 9, and 18
Common Factors = 1, 2, 3, and 6
GCF = 6
No, 3 is not the GCF
For 15, 27:
factors of 15 = 1, 3, 5, and 15
factors of 27 = 1, 3, 9, and 27
Common Factors = 1 and 3
GCF = 3
Yes, 3 is the GCF
For 30, 45:
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, and 30
Factors of 45 = 1, 3, 5, 9, 15, and 45
Common Factors = 1, 3, 5, and 15
GCF = 15
No, 3 is not the GCF