What is the Greatest Common Factor of 19438 and 19452?

Greatest common factor (GCF) of 19438 and 19452 is 2.

GCF(19438,19452) = 2

We will now calculate the prime factors of 19438 and 19452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19438 and 19452.

How to find the GCF of 19438 and 19452?

We will first find the prime factorization of 19438 and 19452. After we will calculate the factors of 19438 and 19452 and find the biggest common factor number .

Step-1: Prime Factorization of 19438

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

19438 = 2¹ × 9719¹

Step-2: Prime Factorization of 19452

Prime factors of 19452 are 2, 3, 1621. Prime factorization of 19452 in exponential form is:

19452 = 2² × 3¹ × 1621¹

Step-3: Factors of 19438

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

1, 2, 9719

Step-4: Factors of 19452

List of positive integer factors of 19452 that divides 19438 without a remainder.

1, 2, 3, 4, 6, 12, 1621, 3242, 4863, 6484, 9726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19438 and 19452. The biggest common factor number is the GCF number.
So the greatest common factor 19438 and 19452 is 2.

Also check out the Least Common Multiple of 19438 and 19452