What is the Greatest Common Factor of 19458 and 19476?

Greatest common factor (GCF) of 19458 and 19476 is 18.

GCF(19458,19476) = 18

We will now calculate the prime factors of 19458 and 19476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19458 and 19476.

How to find the GCF of 19458 and 19476?

We will first find the prime factorization of 19458 and 19476. After we will calculate the factors of 19458 and 19476 and find the biggest common factor number .

Step-1: Prime Factorization of 19458

Prime factors of 19458 are 2, 3, 23, 47. Prime factorization of 19458 in exponential form is:

19458 = 2¹ × 3² × 23¹ × 47¹

Step-2: Prime Factorization of 19476

Prime factors of 19476 are 2, 3, 541. Prime factorization of 19476 in exponential form is:

19476 = 2² × 3² × 541¹

Step-3: Factors of 19458

List of positive integer factors of 19458 that divides 19458 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 47, 69, 94, 138, 141, 207, 282, 414, 423, 846, 1081, 2162, 3243, 6486, 9729

Step-4: Factors of 19476

List of positive integer factors of 19476 that divides 19458 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 541, 1082, 1623, 2164, 3246, 4869, 6492, 9738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19458 and 19476. The biggest common factor number is the GCF number.
So the greatest common factor 19458 and 19476 is 18.

Also check out the Least Common Multiple of 19458 and 19476