Question
greates common factor of 28 and 42 using prime factorization
Answers
GPT 3.5
To find the greatest common factor of 28 and 42 using prime factorization, we need to first find the prime factorization of both numbers.
The prime factorization of 28 is: 2 * 2 * 7 = 2^2 * 7
The prime factorization of 42 is: 2 * 3 * 7
Now, we look for the common prime factors:
The common prime factors are 2 and 7. However, we take the lowest power of each prime factor between the two numbers. So, the greatest common factor is 2 * 7 = 14.
Therefore, the greatest common factor of 28 and 42 is 14.
The prime factorization of 28 is: 2 * 2 * 7 = 2^2 * 7
The prime factorization of 42 is: 2 * 3 * 7
Now, we look for the common prime factors:
The common prime factors are 2 and 7. However, we take the lowest power of each prime factor between the two numbers. So, the greatest common factor is 2 * 7 = 14.
Therefore, the greatest common factor of 28 and 42 is 14.