What is the Greatest Common Factor of 19435 and 19448?

Greatest common factor (GCF) of 19435 and 19448 is 13.

GCF(19435,19448) = 13

We will now calculate the prime factors of 19435 and 19448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19435 and 19448.

How to find the GCF of 19435 and 19448?

We will first find the prime factorization of 19435 and 19448. After we will calculate the factors of 19435 and 19448 and find the biggest common factor number .

Step-1: Prime Factorization of 19435

Prime factors of 19435 are 5, 13, 23. Prime factorization of 19435 in exponential form is:

19435 = 5¹ × 13² × 23¹

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 19435

List of positive integer factors of 19435 that divides 19435 without a remainder.

1, 5, 13, 23, 65, 115, 169, 299, 845, 1495, 3887

Step-4: Factors of 19448

List of positive integer factors of 19448 that divides 19435 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 19435 and 19448. The biggest common factor number is the GCF number.
So the greatest common factor 19435 and 19448 is 13.

Also check out the Least Common Multiple of 19435 and 19448