What is the greatest common factor (GCF) of 8 and 12?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the Grade 6 FAST Mathematics Test. Study with comprehensive questions, solutions, and tips to maximize your performance and excel in your exam!

Multiple Choice

What is the greatest common factor (GCF) of 8 and 12?

Explanation:
Finding the greatest common factor means finding the biggest number that divides both numbers exactly. For 8 and 12, the factors of 8 are 1, 2, 4, and 8; the factors of 12 are 1, 2, 3, 4, 6, and 12. The common factors are 1, 2, and 4, with 4 being the largest. So the greatest common factor is 4. You can also see this with prime factorization: 8 = 2^3 and 12 = 2^2 × 3. The common part is 2^2, which equals 4. Choices like 2 are smaller common factors, while 3 isn’t a factor of 8, and 6 isn’t a factor of 8, so they aren’t the greatest common factor.

Finding the greatest common factor means finding the biggest number that divides both numbers exactly. For 8 and 12, the factors of 8 are 1, 2, 4, and 8; the factors of 12 are 1, 2, 3, 4, 6, and 12. The common factors are 1, 2, and 4, with 4 being the largest. So the greatest common factor is 4. You can also see this with prime factorization: 8 = 2^3 and 12 = 2^2 × 3. The common part is 2^2, which equals 4. Choices like 2 are smaller common factors, while 3 isn’t a factor of 8, and 6 isn’t a factor of 8, so they aren’t the greatest common factor.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy