What is the Greatest Common Factor of 38467 and 38478?

Greatest common factor (GCF) of 38467 and 38478 is 11.

GCF(38467,38478) = 11

We will now calculate the prime factors of 38467 and 38478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38467 and 38478.

How to find the GCF of 38467 and 38478?

We will first find the prime factorization of 38467 and 38478. After we will calculate the factors of 38467 and 38478 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38478

Prime factors of 38478 are 2, 3, 11, 53. Prime factorization of 38478 in exponential form is:

38478 = 2¹ × 3¹ × 11² × 53¹

Step-3: Factors of 38467

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

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

Step-4: Factors of 38478

List of positive integer factors of 38478 that divides 38467 without a remainder.

1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 121, 159, 242, 318, 363, 583, 726, 1166, 1749, 3498, 6413, 12826, 19239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38467 and 38478. The biggest common factor number is the GCF number.
So the greatest common factor 38467 and 38478 is 11.

Also check out the Least Common Multiple of 38467 and 38478