The greatest common factor of 126 and 98 is:
(1 point)
Responses
2
2
7
7
14
14
28
The greatest common factor of 126 and 98 is 14.
To find the greatest common factor (GCF) of 126 and 98, we can use prime factorization.
Prime factorization of 126:
126 = 2 x 3 x 3 x 7
Prime factorization of 98:
98 = 2 x 7 x 7
To find the GCF, we need to find the highest power of each common prime factor: 2 and 7.
The highest power of 2 that both 126 and 98 share is 2^1 = 2.
The highest power of 7 that both 126 and 98 share is 7^1 = 7.
Therefore, the GCF of 126 and 98 is 2 x 7, which is 14.
So, the correct answer is 14.