What is the Greatest Common Factor of 19458 and 19474?

Greatest common factor (GCF) of 19458 and 19474 is 2.

GCF(19458,19474) = 2

We will now calculate the prime factors of 19458 and 19474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19458 and 19474.

How to find the GCF of 19458 and 19474?

We will first find the prime factorization of 19458 and 19474. After we will calculate the factors of 19458 and 19474 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 19474

Prime factors of 19474 are 2, 7, 13, 107. Prime factorization of 19474 in exponential form is:

19474 = 2¹ × 7¹ × 13¹ × 107¹

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 19474

List of positive integer factors of 19474 that divides 19458 without a remainder.

1, 2, 7, 13, 14, 26, 91, 107, 182, 214, 749, 1391, 1498, 2782, 9737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19458 and 19474. The biggest common factor number is the GCF number.
So the greatest common factor 19458 and 19474 is 2.

Also check out the Least Common Multiple of 19458 and 19474