The Greatest Common Factor
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State
The greatest common factor of polynomials is the largest polynomial that divides evenly into each of them.
Show
For 12x³ and 18x², the GCF is 6x²: 6 is the largest shared coefficient factor, x² the largest shared power.
Watch for
Take the smallest exponent on each shared variable.
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- Nothing — this is a starting point.
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- Nothing yet depends on this.