What is the greatest common factor of 8 and 12?

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Prepare for the CSET Multiple Subjects Subtest 2 Exam. Enhance your knowledge with our engaging flashcards and multiple choice questions, complete with hints and explanations.

Multiple Choice

What is the greatest common factor of 8 and 12?

Explanation:
The greatest common factor is the largest number that divides both numbers exactly. For 8 and 12, the divisors they share are 1, 2, and 4; the largest of these is 4. You can also see this via prime factorization: 8 = 2^3 and 12 = 2^2 · 3, so the common part is 2^2 = 4. Therefore, the greatest common factor is 4. The other options don’t fit because 3 doesn’t divide 8, 6 doesn’t divide 8, and 2 is smaller than 4.

The greatest common factor is the largest number that divides both numbers exactly. For 8 and 12, the divisors they share are 1, 2, and 4; the largest of these is 4. You can also see this via prime factorization: 8 = 2^3 and 12 = 2^2 · 3, so the common part is 2^2 = 4. Therefore, the greatest common factor is 4. The other options don’t fit because 3 doesn’t divide 8, 6 doesn’t divide 8, and 2 is smaller than 4.

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