What is the Greatest Common Factor of 19448 and 19465?

Greatest common factor (GCF) of 19448 and 19465 is 17.

GCF(19448,19465) = 17

We will now calculate the prime factors of 19448 and 19465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19448 and 19465.

How to find the GCF of 19448 and 19465?

We will first find the prime factorization of 19448 and 19465. After we will calculate the factors of 19448 and 19465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19465

Prime factors of 19465 are 5, 17, 229. Prime factorization of 19465 in exponential form is:

19465 = 5¹ × 17¹ × 229¹

Step-3: Factors of 19448

List of positive integer factors of 19448 that divides 19448 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

Step-4: Factors of 19465

List of positive integer factors of 19465 that divides 19448 without a remainder.

1, 5, 17, 85, 229, 1145, 3893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19448 and 19465. The biggest common factor number is the GCF number.
So the greatest common factor 19448 and 19465 is 17.

Also check out the Least Common Multiple of 19448 and 19465