What is the Greatest Common Factor of 19418 and 19438?

Greatest common factor (GCF) of 19418 and 19438 is 2.

GCF(19418,19438) = 2

We will now calculate the prime factors of 19418 and 19438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19418 and 19438.

How to find the GCF of 19418 and 19438?

We will first find the prime factorization of 19418 and 19438. After we will calculate the factors of 19418 and 19438 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 19438

Prime factors of 19438 are 2, 9719. Prime factorization of 19438 in exponential form is:

19438 = 2¹ × 9719¹

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 19438

List of positive integer factors of 19438 that divides 19418 without a remainder.

1, 2, 9719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19418 and 19438. The biggest common factor number is the GCF number.
So the greatest common factor 19418 and 19438 is 2.

Also check out the Least Common Multiple of 19418 and 19438