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How to Find the Greatest Common Factor

Don't Confuse the GCF

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Overview: Factoring Polynomials In order to factor polynomials, it is important to find the greatest common factors and use the distributive property. Use the integral coefficients to rewrite the polynomial and find the factors.

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The greatest common factor is, like it sounds, the largest number that factors evenly into two or more larger numbers. For instance, the greatest common factor GCF of 15 and 25 factor 5, because 5 is the largest number that goes greatest 15 and 25 evenly.

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Click on the picture below to be taken to a video that I created to help you guys with your homework tonight! GCF (Greatest Common Factor): The highest number that divides exactly into two or more numbers. LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. To find either the LCM or the GCF of two or more numbers, you start the same way: begin with prime factorization of all numbers.

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The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1. greatest common factor, Prime Factorization Pre-Algebra Prime Numbers. Identifying prime numbers and finding prime factorizations.