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Finding The Gcf Using Prime Factorization
Finding The Gcf Using Prime Factorization. Multiply all the circled numbers. Product of the common factors:

The result is the gcf. We will find the prime factorization of each of these numbers. Finding gcf using a factor tree can be easy if you know ho.
Align The Common Prime Factor Base Whenever Possible.
Prime factors of 36 are: Gcf (126, 252, 162, 174) = 6. For example, suppose you want to find the gcf of 28, 42, and 70.
36 = 2 × 2 × 3 × 3.
Product of the common factors: Find the gcf of 24 and 36 using prime factorization. Here’s how to find the gcf of a set of numbers using prime factorization:
Multiply All The Circled Numbers.
Find the prime factors for. Find the lcm of 12 and 36. Find the prime factors they have in common.
The Result Is The Gcf.
For the numbers with a common prime factor base, select the prime number that has the highest power. Common prime factors = (2, 2, 3) gcf = product (2,2,3) = 2 × 2 × 3 = 12; 1) 33, 22 2) 41, 22 3) 30, 20 4) 45, 33 5) 27, 33 6) 7, 33 7) 32, 48 8) 24, 48 9) 30, 40 10) 44, 22 11) 5, 92 12) 12, 80.
Finding The Gcf Using Prime Factorization;
List the prime factors of each number. Thus, gcf (168,252,288) = 2 × 2 × 3 = 2 2 × 3 1.the gcf of these three numbers will be the product of the common prime factors of all three numbers. 36 = 2 x 2 x 3 x 3.
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