What is the Greatest Common Factor of 19437 and 19448?

Greatest common factor (GCF) of 19437 and 19448 is 11.

GCF(19437,19448) = 11

We will now calculate the prime factors of 19437 and 19448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19437 and 19448.

How to find the GCF of 19437 and 19448?

We will first find the prime factorization of 19437 and 19448. After we will calculate the factors of 19437 and 19448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19448

Prime factors of 19448 are 2, 11, 13, 17. Prime factorization of 19448 in exponential form is:

19448 = 2³ × 11¹ × 13¹ × 17¹

Step-3: Factors of 19437

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

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

Step-4: Factors of 19448

List of positive integer factors of 19448 that divides 19437 without a remainder.

1, 2, 4, 8, 11, 13, 17, 22, 26, 34, 44, 52, 68, 88, 104, 136, 143, 187, 221, 286, 374, 442, 572, 748, 884, 1144, 1496, 1768, 2431, 4862, 9724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19437 and 19448. The biggest common factor number is the GCF number.
So the greatest common factor 19437 and 19448 is 11.

Also check out the Least Common Multiple of 19437 and 19448