What is the Greatest Common Factor of 19274 and 19288?

Greatest common factor (GCF) of 19274 and 19288 is 2.

GCF(19274,19288) = 2

We will now calculate the prime factors of 19274 and 19288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19274 and 19288.

How to find the GCF of 19274 and 19288?

We will first find the prime factorization of 19274 and 19288. After we will calculate the factors of 19274 and 19288 and find the biggest common factor number .

Step-1: Prime Factorization of 19274

Prime factors of 19274 are 2, 23, 419. Prime factorization of 19274 in exponential form is:

19274 = 2¹ × 23¹ × 419¹

Step-2: Prime Factorization of 19288

Prime factors of 19288 are 2, 2411. Prime factorization of 19288 in exponential form is:

19288 = 2³ × 2411¹

Step-3: Factors of 19274

List of positive integer factors of 19274 that divides 19274 without a remainder.

1, 2, 23, 46, 419, 838, 9637

Step-4: Factors of 19288

List of positive integer factors of 19288 that divides 19274 without a remainder.

1, 2, 4, 8, 2411, 4822, 9644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19274 and 19288. The biggest common factor number is the GCF number.
So the greatest common factor 19274 and 19288 is 2.

Also check out the Least Common Multiple of 19274 and 19288