What is the Greatest Common Factor of 38454 and 38467?

Greatest common factor (GCF) of 38454 and 38467 is 13.

GCF(38454,38467) = 13

We will now calculate the prime factors of 38454 and 38467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38454 and 38467.

How to find the GCF of 38454 and 38467?

We will first find the prime factorization of 38454 and 38467. After we will calculate the factors of 38454 and 38467 and find the biggest common factor number .

Step-1: Prime Factorization of 38454

Prime factors of 38454 are 2, 3, 13, 17, 29. Prime factorization of 38454 in exponential form is:

38454 = 2¹ × 3¹ × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 38467

Prime factors of 38467 are 11, 13, 269. Prime factorization of 38467 in exponential form is:

38467 = 11¹ × 13¹ × 269¹

Step-3: Factors of 38454

List of positive integer factors of 38454 that divides 38454 without a remainder.

1, 2, 3, 6, 13, 17, 26, 29, 34, 39, 51, 58, 78, 87, 102, 174, 221, 377, 442, 493, 663, 754, 986, 1131, 1326, 1479, 2262, 2958, 6409, 12818, 19227

Step-4: Factors of 38467

List of positive integer factors of 38467 that divides 38454 without a remainder.

1, 11, 13, 143, 269, 2959, 3497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38454 and 38467. The biggest common factor number is the GCF number.
So the greatest common factor 38454 and 38467 is 13.

Also check out the Least Common Multiple of 38454 and 38467