0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Rene
RossOh, 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.
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.
Add your answer:
Earn +20 pts
What is the greatest common factor of 189 and 441?
The adjective "greatest" is a superlative. What hat means is that there can be only one. There cannot be two greatest common factors.The greatest common factor of 189 and 441 IS 63.
What are the common factors and greatest common factor of 189?
You need at least two numbers to find something in common.
What is the greatest common factor of 945 and 4536?
945 = 3³ × 5 × 7 4536 = 2³ × 3⁴ × 7 Thus, the greatest common factor is 3³ × 7 = 189.
What is greatest common factor of 135 189 and 297?
5 x 27 = 135. 7 x 27 = 189. 11 x 27 = 297. So the answer is 27.
What is the greatest common factor of 189 and 297?
One method is to express each number in terms of its prime factors. 189 = 3 x 3 x 3 x 7 = 33 x 7 297 = 3 x 3 x 3 x 11 = 33 x 11 The Greatest Common Factor is 33 = 27.
