Question
Find the Greatest Common Factor of: 50, 78, 112. Make sure to show and/or explain all your work. (2 points)
Answers
Answered by
GPT 3.5
To find the greatest common factor of 50, 78, and 112, we can use the prime factorization method.
First, we will find the prime factorization for each number:
- Prime factorization of 50: 2 * 5 * 5
- Prime factorization of 78: 2 * 3 * 13
- Prime factorization of 112: 2 * 2 * 2 * 2 * 7
Next, we will identify the common prime factors among the three numbers: 2.
Finally, we find the product of the common prime factors: 2 * 2 = 4.
Therefore, the greatest common factor of 50, 78, and 112 is 4.
First, we will find the prime factorization for each number:
- Prime factorization of 50: 2 * 5 * 5
- Prime factorization of 78: 2 * 3 * 13
- Prime factorization of 112: 2 * 2 * 2 * 2 * 7
Next, we will identify the common prime factors among the three numbers: 2.
Finally, we find the product of the common prime factors: 2 * 2 = 4.
Therefore, the greatest common factor of 50, 78, and 112 is 4.