Discover How To Find Common Factors of Two Numbers with These Step-by-Step Instructions

How to find common factors of two numbers

NOT prime factorsFind shared prime factors and multiple those in every way possibleex- 135= 3x3x3x5 | 225= 3x3x5x5both share 3x3x53x3x5= 45, 3×3 = 9, 3×5= 15so answer= 3x5x9x15x45

To find common factors of two numbers, you need to determine the factors of each number and then determine the common factors. Here are the steps:

1. Determine the factors of the first number by dividing it by the numbers less than or equal to it. For example, if the first number is 12, divide 12 by 1, 2, 3, 4, 6, and 12. The factors of 12 are 1, 2, 3, 4, 6, and 12.

2. Determine the factors of the second number using the same process as step 1.

3. Identify the common factors by finding the factors that both numbers share. For example, if the common factors of 12 and 18 are being sought, the factors of 12 are 1, 2, 3, 4, 6, and 12 and the factors of 18 are 1, 2, 3, 6, 9, and 18. The common factors are 1, 2, 3, and 6.

4. List the common factors in ascending order from smallest to largest.

Therefore, the common factors of 12 and 18 are 1, 2, 3, and 6.

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