Greatest Common Factor Gcf Definition Procedure Examples The largest number that is found in the common factors is called the greatest common factor. the gcf is also known as the highest common factor (hcf) let us consider the example given below: for example – the gcf of 18, 21 is 3. because the factors of the number 18 and 21 are: factors of 18 = 2×9 =2×3×3. factors of 21 = 3×7. The greatest common factor (gcf), also known as the greatest common divisor (gcd), is the largest positive integer that is a factor of two or more integers. in simple words, it is the largest number that divides the given set of integers evenly, without leaving any remainder. let’s quickly revise some important terms associated with the.
Greatest Common Factor Gcf вђ Definition Examples Expii 45 Off Step 1: write down the numbers you want to find the gcf of. for example, let’s find the gcf of 24 and 36: step 2: find the prime factors of each number. prime factors of 24: 2 x 2 x 2 x 3. prime factors of 36: 2 x 2 x 3 x 3. step 3: identify the common prime factors among all the numbers. Example 5: only common factor is 1. calculate the greatest common factor of 3535 and 72.72. state the product of prime factors for each number. show step. 35 = 5 × 7 72 = 2 × 2 × 2 × 3 × 335 = 5 × 7 72 = 2 × 2 × 2 × 3 × 3. write all the prime factors into the venn diagram for each number. show step. Solution: step 1 represent the numbers in the prime factored form. step 2 gcf is the product of the factors that are common to each of the given numbers. thus, gcf (60,90) = 2 1 × 3 1 × 5 1 = 30. therefore, gcf of 60 and 90 = 30. we can also find the greatest common factor of three numbers or more by this method. After identifying the common factors, select or choose the number which has the largest value. this number will essentially be the greatest common factor (gcf). because they are the most common problems that you will encounter when studying gcf. this problem is easy because the numbers involved are relatively simple.
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