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7 grade maths

How do you find the GCF of 9 and 15 and 24?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the greatest common factor (GCF) of 9, 15, and 24, follow these steps:

Find the prime factorization of each number:

9: The prime factorization of 9 is 3 × 3.
15: The prime factorization of 15 is 3 × 5.
24: The prime factorization of 24 is 2 × 2 × 2 × 3.
List the common factors:

The prime factors of 9 are 3 and 3.
The prime factors of 15 are 3 and 5.
The prime factors of 24 are 2, 2, 2, and 3.
The only common factor in all three numbers is 3.

Conclusion: The greatest common factor (GCF) of 9, 15, and 24 is 3.