What is the Greatest Common Factor of 19404 and 19418?

Greatest common factor (GCF) of 19404 and 19418 is 14.

GCF(19404,19418) = 14

We will now calculate the prime factors of 19404 and 19418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19404 and 19418.

How to find the GCF of 19404 and 19418?

We will first find the prime factorization of 19404 and 19418. After we will calculate the factors of 19404 and 19418 and find the biggest common factor number .

Step-1: Prime Factorization of 19404

Prime factors of 19404 are 2, 3, 7, 11. Prime factorization of 19404 in exponential form is:

19404 = 2² × 3² × 7² × 11¹

Step-2: Prime Factorization of 19418

Prime factors of 19418 are 2, 7, 19, 73. Prime factorization of 19418 in exponential form is:

19418 = 2¹ × 7¹ × 19¹ × 73¹

Step-3: Factors of 19404

List of positive integer factors of 19404 that divides 19404 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 49, 63, 66, 77, 84, 98, 99, 126, 132, 147, 154, 196, 198, 231, 252, 294, 308, 396, 441, 462, 539, 588, 693, 882, 924, 1078, 1386, 1617, 1764, 2156, 2772, 3234, 4851, 6468, 9702

Step-4: Factors of 19418

List of positive integer factors of 19418 that divides 19404 without a remainder.

1, 2, 7, 14, 19, 38, 73, 133, 146, 266, 511, 1022, 1387, 2774, 9709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19404 and 19418. The biggest common factor number is the GCF number.
So the greatest common factor 19404 and 19418 is 14.

Also check out the Least Common Multiple of 19404 and 19418