What is the greatest common factor of 126 and 189?

Answer 1

The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 126 and 189, we can use the prime factorization method. Prime factorizing 126 gives 2 x 3^2 x 7, and prime factorizing 189 gives 3^3 x 7. The common factors between the two numbers are 3 and 7. Therefore, the GCF of 126 and 189 is 21.

Answer 2

Oh, let's find the greatest common factor of 126 and 189 together, shall we? We can start by listing the factors of each number - for 126, the factors are 1, 2, 3, 6, 9, 14, 18, 21, 42, 63, and 126, and for 189, the factors are 1, 3, 7, 9, 21, 27, 63, and 189. The greatest common factor is the largest number that appears in both lists, which in this case is 63.

Answer 3

Oh, dude, you're hitting me with some math now, huh? Well, the greatest common factor of 126 and 189 is 63. It's like the ultimate matchmaker, finding the biggest number that can divide both of them without any remainders. So yeah, 63 is the MVP in this math equation.

Answer 4

The GCF of 126 and 189 is 63.

The easiest way to solve this is by breaking down 126 and 189 into a series of prime numbers multiplied together. 126 = 2*(3^2)*7, and 189 = (3^3)*7

So taking the minimum powers on each side will give you the GCF.

Thus GCD(126,189) = (2^0)*(3^2)*(7^1)= 1*9*7 = 63.