Q. Find the greatest common factor of 7,15 , and 21 .
Factors of 7: List the factors of 7.7 is a prime number, so its only factors are 1 and itself.Factors of 7: 1,7
Factors of 15: List the factors of 15.1×15=153×5=15Factors of 15: 1, 3, 5, 15
Factors of 21: List the factors of 21.1×21=213×7=21Factors of 21: 1, 3, 7, 21
Common factors of 7, 15, and 21: Identify the common factors of 7, 15, and 21.Factors of 7: 1, 7Factors of 15: 1, 151, 152, 15Factors of 21: 1, 151, 7, 21The only common factor is 1, since it is the only factor that appears in all three lists.
Greatest common factor (GCF) of 7, 15, and 21: Determine the greatest common factor (GCF) of 7, 15, and 21.Since the only common factor is 1, the GCF of 7, 15, and 21 is 1.
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