What is the Greatest Common Factor of 19448 and 19461?

Greatest common factor (GCF) of 19448 and 19461 is 13.

GCF(19448,19461) = 13

We will now calculate the prime factors of 19448 and 19461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19448 and 19461.

How to find the GCF of 19448 and 19461?

We will first find the prime factorization of 19448 and 19461. After we will calculate the factors of 19448 and 19461 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 19461

Prime factors of 19461 are 3, 13, 499. Prime factorization of 19461 in exponential form is:

19461 = 3¹ × 13¹ × 499¹

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 19461

List of positive integer factors of 19461 that divides 19448 without a remainder.

1, 3, 13, 39, 499, 1497, 6487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19448 and 19461. The biggest common factor number is the GCF number.
So the greatest common factor 19448 and 19461 is 13.

Also check out the Least Common Multiple of 19448 and 19461