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The greatest common factor (GCF) is the largest whole number that two or more numbers can be divided by. The lowest common multiple (LCM) is the smallest whole number which is a multiple of two or more whole numbers.
Solution: Step 1 - Divide the larger number by the smaller number using long division. Step 2 - If the remainder is 0, then the divisor is the GCF. Step 3 - If the remainder is 0, then the divisor of the last division is the GCF.
GCF: The highest number that divides exactly into two or more numbers. Process: Express the monomial as a product of its prime factors. Circle all common factors. Multiply these common factors to represent the GCF.
To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.
How to find the greatest common factor (GCF) of two expressions. Factor each coefficient into primes. Write all variables with exponents in expanded form. List all factorsmatching common factors in a column. Bring down the common factors that all expressions share. Multiply the factors.
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The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.
The greatest common factor (GCF) is the largest number that evenly divides two (or more) numbers. For example, the largest number that evenly divides both 8 and 12 is 4. This means the greatest common factor of 8 and 12 is 4.
Heres how to find the GCF of a set of numbers using prime factorization: List the prime factors of each number. Circle every common prime factor that is, every prime factor thats a factor of every number in the set. Multiply all the circled numbers. The result is the GCF.

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