Pregunta
Find the greatest common factor of 8 and 12 .
Ask by King Byrd. in Uganda
Feb 24,2025
Solución de inteligencia artificial de Upstudy
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The greatest common factor of 8 and 12 is 4.
Solución
To find the greatest common factor (GCF) of 8 and 12, first list all factors of each number.
For 8, the factors are: 1, 2, 4, 8.
For 12, the factors are: 1, 2, 3, 4, 6, 12.
The common factors are 1, 2, and 4. The greatest of these is 4.
Thus, the greatest common factor of 8 and 12 is 4.
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Simplifique esta solución Bonus Knowledge
The greatest common factor (GCF) of 8 and 12 is 4. You can find this by listing the factors of each number. The factors of 8 are 1, 2, 4, and 8, while the factors of 12 are 1, 2, 3, 4, 6, and 12. The largest factor that both numbers share is 4. A fun way to visualize this is by using prime factorization! For 8, it’s 2 × 2 × 2 (or 2^3), and for 12, it’s 2 × 2 × 3 (or 2^2 × 3). The GCF is the product of the lowest powers of common prime factors, which here is 2^2, giving us 4 again!
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