What is the Greatest Common Factor of 38462 and 38478?

Greatest common factor (GCF) of 38462 and 38478 is 2.

GCF(38462,38478) = 2

We will now calculate the prime factors of 38462 and 38478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38462 and 38478.

How to find the GCF of 38462 and 38478?

We will first find the prime factorization of 38462 and 38478. After we will calculate the factors of 38462 and 38478 and find the biggest common factor number .

Step-1: Prime Factorization of 38462

Prime factors of 38462 are 2, 19231. Prime factorization of 38462 in exponential form is:

38462 = 2¹ × 19231¹

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 38462

List of positive integer factors of 38462 that divides 38462 without a remainder.

1, 2, 19231

Step-4: Factors of 38478

List of positive integer factors of 38478 that divides 38462 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 38462 and 38478. The biggest common factor number is the GCF number.
So the greatest common factor 38462 and 38478 is 2.

Also check out the Least Common Multiple of 38462 and 38478