What is the Greatest Common Factor of 19418 and 19437?

Greatest common factor (GCF) of 19418 and 19437 is 19.

GCF(19418,19437) = 19

We will now calculate the prime factors of 19418 and 19437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19418 and 19437.

How to find the GCF of 19418 and 19437?

We will first find the prime factorization of 19418 and 19437. After we will calculate the factors of 19418 and 19437 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19437

Prime factors of 19437 are 3, 11, 19, 31. Prime factorization of 19437 in exponential form is:

19437 = 3¹ × 11¹ × 19¹ × 31¹

Step-3: Factors of 19418

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

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

Step-4: Factors of 19437

List of positive integer factors of 19437 that divides 19418 without a remainder.

1, 3, 11, 19, 31, 33, 57, 93, 209, 341, 589, 627, 1023, 1767, 6479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19418 and 19437. The biggest common factor number is the GCF number.
So the greatest common factor 19418 and 19437 is 19.

Also check out the Least Common Multiple of 19418 and 19437