Finding the Greatest Common Factor (GCF): To find the GCF of two expressions:
- Factor each coefficient into primes. Write all variables with exponents in expanded form.
- List all factors—matching common factors in a column.
- Bring down the common factors that all expressions share.
- Multiply the factors as in (Figure).
How did you find the GCF of the numerical?
You can do this by following these three steps: Break down the coefficient of each of your polynomial’s terms into its prime factorization. Select all the numbers that appear in each coefficient’s prime factorization. Multiply those selected numbers together; this is the numerical portion of your polynomial’s GCF.
How to find the GCF of two numbers?
The blue numbers are the prime factors of both numbers. To find the GCF, simply identify the prime factors that both numbers have in common and multiply them together. Both numbers have common prime factors of 2 and 2. 2 x 2 = 4. This explains how your mom knew to cut both cakes into 4-square-inch pieces!
How to find the GCF and the LCM?
Find the prime factors of all the numbers and then identify the common factors. Multiply the common factors to get the GCF of the numbers! That was all about GCF, so now we will look into the LCM. The least common multiple of two or more numbers, is a number which is the smallest number divisible by all the numbers.
Which is the most efficient way to calculate the GCF?
The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result. To find the GCF by factoring, list out all of the factors of each number or find them with a Factors Calculator. The whole number factors are numbers that divide evenly into the number with zero remainder.
How to find the GCF in a cake?
Look at the numbers that are not part of the GCF: The yellow numbers tell us that there are 3 4-square-inch pieces in the small cake and 5 4-square-inch pieces in the large cake. A total of 8 4-square inch pieces makes sense, because 8×4=32, which equals the cake sizes of 12 and 20 square inches, since 12+20=32.
